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Finding the Fourth Proportional to 3,782.46, 5,240.01 and 3,691.74

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Solution

The fourth proportional to 3,782.46, 5,240.01 and 3,691.74 is: 5,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.46 : 5,240.01 = 3,691.74 : x
  2. Step 2: Convert to fraction form
    3,782.46/5,240.01 = 3,691.74/x
  3. Step 3: Cross multiply
    3,782.46x = 5,240.01 × 3,691.74
  4. Step 4: Simplify right side
    3,782.46x = 19,344,754.52
  5. Step 5: Solve for x
    x = 19,344,754.52/3,782.46
  6. Step 6: Final answer
    x = 5,114.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.