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Finding the Fourth Proportional to 3,747.71, 5,167.02 and 3,073.04

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Solution

The fourth proportional to 3,747.71, 5,167.02 and 3,073.04 is: 4,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.71 : 5,167.02 = 3,073.04 : x
  2. Step 2: Convert to fraction form
    3,747.71/5,167.02 = 3,073.04/x
  3. Step 3: Cross multiply
    3,747.71x = 5,167.02 × 3,073.04
  4. Step 4: Simplify right side
    3,747.71x = 15,878,433.31
  5. Step 5: Solve for x
    x = 15,878,433.31/3,747.71
  6. Step 6: Final answer
    x = 4,236.84

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1.5x scale

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.