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Finding the Fourth Proportional to 3,752.91, 5,178.92 and 2,074.23

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Solution

The fourth proportional to 3,752.91, 5,178.92 and 2,074.23 is: 2,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.91 : 5,178.92 = 2,074.23 : x
  2. Step 2: Convert to fraction form
    3,752.91/5,178.92 = 2,074.23/x
  3. Step 3: Cross multiply
    3,752.91x = 5,178.92 × 2,074.23
  4. Step 4: Simplify right side
    3,752.91x = 10,742,271.23
  5. Step 5: Solve for x
    x = 10,742,271.23/3,752.91
  6. Step 6: Final answer
    x = 2,862.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.