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Finding the Fourth Proportional to 5,626.17, 7,759.80 and 3,385.71

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Solution

The fourth proportional to 5,626.17, 7,759.80 and 3,385.71 is: 4,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.17 : 7,759.80 = 3,385.71 : x
  2. Step 2: Convert to fraction form
    5,626.17/7,759.80 = 3,385.71/x
  3. Step 3: Cross multiply
    5,626.17x = 7,759.80 × 3,385.71
  4. Step 4: Simplify right side
    5,626.17x = 26,272,432.46
  5. Step 5: Solve for x
    x = 26,272,432.46/5,626.17
  6. Step 6: Final answer
    x = 4,669.68

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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.