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Finding the Fourth Proportional to 5,674.59, 7,828.65 and 3,577.50

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Solution

The fourth proportional to 5,674.59, 7,828.65 and 3,577.50 is: 4,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.59 : 7,828.65 = 3,577.50 : x
  2. Step 2: Convert to fraction form
    5,674.59/7,828.65 = 3,577.50/x
  3. Step 3: Cross multiply
    5,674.59x = 7,828.65 × 3,577.50
  4. Step 4: Simplify right side
    5,674.59x = 28,006,995.38
  5. Step 5: Solve for x
    x = 28,006,995.38/5,674.59
  6. Step 6: Final answer
    x = 4,935.51

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Half 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.