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Finding the Fourth Proportional to 4,141.76, 5,715.12 and 2,463.20

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Solution

The fourth proportional to 4,141.76, 5,715.12 and 2,463.20 is: 3,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.76 : 5,715.12 = 2,463.20 : x
  2. Step 2: Convert to fraction form
    4,141.76/5,715.12 = 2,463.20/x
  3. Step 3: Cross multiply
    4,141.76x = 5,715.12 × 2,463.20
  4. Step 4: Simplify right side
    4,141.76x = 14,077,483.58
  5. Step 5: Solve for x
    x = 14,077,483.58/4,141.76
  6. Step 6: Final answer
    x = 3,398.91

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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.