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Finding the Fourth Proportional to 4,381.92, 6,581.52 and 3,880.80

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Solution

The fourth proportional to 4,381.92, 6,581.52 and 3,880.80 is: 5,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.92 : 6,581.52 = 3,880.80 : x
  2. Step 2: Convert to fraction form
    4,381.92/6,581.52 = 3,880.80/x
  3. Step 3: Cross multiply
    4,381.92x = 6,581.52 × 3,880.80
  4. Step 4: Simplify right side
    4,381.92x = 25,541,562.82
  5. Step 5: Solve for x
    x = 25,541,562.82/4,381.92
  6. Step 6: Final answer
    x = 5,828.85

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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.