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Finding the Fourth Proportional to 3,886.26, 5,828.13 and 1,288.50

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Solution

The fourth proportional to 3,886.26, 5,828.13 and 1,288.50 is: 1,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.26 : 5,828.13 = 1,288.50 : x
  2. Step 2: Convert to fraction form
    3,886.26/5,828.13 = 1,288.50/x
  3. Step 3: Cross multiply
    3,886.26x = 5,828.13 × 1,288.50
  4. Step 4: Simplify right side
    3,886.26x = 7,509,545.51
  5. Step 5: Solve for x
    x = 7,509,545.51/3,886.26
  6. Step 6: Final answer
    x = 1,932.33

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.