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Finding the Fourth Proportional to 4,154.38, 5,731.11 and 2,474.84

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Solution

The fourth proportional to 4,154.38, 5,731.11 and 2,474.84 is: 3,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.38 : 5,731.11 = 2,474.84 : x
  2. Step 2: Convert to fraction form
    4,154.38/5,731.11 = 2,474.84/x
  3. Step 3: Cross multiply
    4,154.38x = 5,731.11 × 2,474.84
  4. Step 4: Simplify right side
    4,154.38x = 14,183,594.60
  5. Step 5: Solve for x
    x = 14,183,594.60/4,154.38
  6. Step 6: Final answer
    x = 3,414.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.