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Finding the Fourth Proportional to 4,123.52, 5,687.90 and 2,707.30

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Solution

The fourth proportional to 4,123.52, 5,687.90 and 2,707.30 is: 3,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.52 : 5,687.90 = 2,707.30 : x
  2. Step 2: Convert to fraction form
    4,123.52/5,687.90 = 2,707.30/x
  3. Step 3: Cross multiply
    4,123.52x = 5,687.90 × 2,707.30
  4. Step 4: Simplify right side
    4,123.52x = 15,398,851.67
  5. Step 5: Solve for x
    x = 15,398,851.67/4,123.52
  6. Step 6: Final answer
    x = 3,734.39

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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.