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Finding the Fourth Proportional to 3,387.92, 5,081.88 and 922.77

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Solution

The fourth proportional to 3,387.92, 5,081.88 and 922.77 is: 1,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.92 : 5,081.88 = 922.77 : x
  2. Step 2: Convert to fraction form
    3,387.92/5,081.88 = 922.77/x
  3. Step 3: Cross multiply
    3,387.92x = 5,081.88 × 922.77
  4. Step 4: Simplify right side
    3,387.92x = 4,689,406.41
  5. Step 5: Solve for x
    x = 4,689,406.41/3,387.92
  6. Step 6: Final answer
    x = 1,384.16

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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.