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Finding the Fourth Proportional to 3,981.77, 5,497.38 and 2,724.92

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Solution

The fourth proportional to 3,981.77, 5,497.38 and 2,724.92 is: 3,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.77 : 5,497.38 = 2,724.92 : x
  2. Step 2: Convert to fraction form
    3,981.77/5,497.38 = 2,724.92/x
  3. Step 3: Cross multiply
    3,981.77x = 5,497.38 × 2,724.92
  4. Step 4: Simplify right side
    3,981.77x = 14,979,920.71
  5. Step 5: Solve for x
    x = 14,979,920.71/3,981.77
  6. Step 6: Final answer
    x = 3,762.13

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Why These Related Problems?

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