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Finding the Fourth Proportional to 4,664.92, 6,437.55 and 2,569

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Solution

The fourth proportional to 4,664.92, 6,437.55 and 2,569 is: 3,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.92 : 6,437.55 = 2,569 : x
  2. Step 2: Convert to fraction form
    4,664.92/6,437.55 = 2,569/x
  3. Step 3: Cross multiply
    4,664.92x = 6,437.55 × 2,569
  4. Step 4: Simplify right side
    4,664.92x = 16,538,065.95
  5. Step 5: Solve for x
    x = 16,538,065.95/4,664.92
  6. Step 6: Final answer
    x = 3,545.20

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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.