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Finding the Fourth Proportional to 3,882.76, 5,359.40 and 2,641.48

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Solution

The fourth proportional to 3,882.76, 5,359.40 and 2,641.48 is: 3,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.76 : 5,359.40 = 2,641.48 : x
  2. Step 2: Convert to fraction form
    3,882.76/5,359.40 = 2,641.48/x
  3. Step 3: Cross multiply
    3,882.76x = 5,359.40 × 2,641.48
  4. Step 4: Simplify right side
    3,882.76x = 14,156,747.91
  5. Step 5: Solve for x
    x = 14,156,747.91/3,882.76
  6. Step 6: Final answer
    x = 3,646.05

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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.