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Finding the Fourth Proportional to 3,744.11, 5,167.46 and 2,471.74

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Solution

The fourth proportional to 3,744.11, 5,167.46 and 2,471.74 is: 3,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.11 : 5,167.46 = 2,471.74 : x
  2. Step 2: Convert to fraction form
    3,744.11/5,167.46 = 2,471.74/x
  3. Step 3: Cross multiply
    3,744.11x = 5,167.46 × 2,471.74
  4. Step 4: Simplify right side
    3,744.11x = 12,772,610.84
  5. Step 5: Solve for x
    x = 12,772,610.84/3,744.11
  6. Step 6: Final answer
    x = 3,411.39

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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.