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Finding the Fourth Proportional to 3,061.92, 4,601.76 and 2,545.12

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Solution

The fourth proportional to 3,061.92, 4,601.76 and 2,545.12 is: 3,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.92 : 4,601.76 = 2,545.12 : x
  2. Step 2: Convert to fraction form
    3,061.92/4,601.76 = 2,545.12/x
  3. Step 3: Cross multiply
    3,061.92x = 4,601.76 × 2,545.12
  4. Step 4: Simplify right side
    3,061.92x = 11,712,031.41
  5. Step 5: Solve for x
    x = 11,712,031.41/3,061.92
  6. Step 6: Final answer
    x = 3,825.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.