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Finding the Fourth Proportional to 5,059.76, 6,983.16 and 3,565.04

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Solution

The fourth proportional to 5,059.76, 6,983.16 and 3,565.04 is: 4,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.76 : 6,983.16 = 3,565.04 : x
  2. Step 2: Convert to fraction form
    5,059.76/6,983.16 = 3,565.04/x
  3. Step 3: Cross multiply
    5,059.76x = 6,983.16 × 3,565.04
  4. Step 4: Simplify right side
    5,059.76x = 24,895,244.73
  5. Step 5: Solve for x
    x = 24,895,244.73/5,059.76
  6. Step 6: Final answer
    x = 4,920.24

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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.