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Finding the Fourth Proportional to 5,633.68, 7,759.92 and 3,929.17

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Solution

The fourth proportional to 5,633.68, 7,759.92 and 3,929.17 is: 5,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.68 : 7,759.92 = 3,929.17 : x
  2. Step 2: Convert to fraction form
    5,633.68/7,759.92 = 3,929.17/x
  3. Step 3: Cross multiply
    5,633.68x = 7,759.92 × 3,929.17
  4. Step 4: Simplify right side
    5,633.68x = 30,490,027.30
  5. Step 5: Solve for x
    x = 30,490,027.30/5,633.68
  6. Step 6: Final answer
    x = 5,412.10

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