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Finding the Fourth Proportional to 3,895.92, 5,376.12 and 2,217.24

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Solution

The fourth proportional to 3,895.92, 5,376.12 and 2,217.24 is: 3,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.92 : 5,376.12 = 2,217.24 : x
  2. Step 2: Convert to fraction form
    3,895.92/5,376.12 = 2,217.24/x
  3. Step 3: Cross multiply
    3,895.92x = 5,376.12 × 2,217.24
  4. Step 4: Simplify right side
    3,895.92x = 11,920,148.31
  5. Step 5: Solve for x
    x = 11,920,148.31/3,895.92
  6. Step 6: Final answer
    x = 3,059.65

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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.