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Finding the Fourth Proportional to 3,697.47, 5,101.19 and 2,371.91

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Solution

The fourth proportional to 3,697.47, 5,101.19 and 2,371.91 is: 3,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.47 : 5,101.19 = 2,371.91 : x
  2. Step 2: Convert to fraction form
    3,697.47/5,101.19 = 2,371.91/x
  3. Step 3: Cross multiply
    3,697.47x = 5,101.19 × 2,371.91
  4. Step 4: Simplify right side
    3,697.47x = 12,099,535.10
  5. Step 5: Solve for x
    x = 12,099,535.10/3,697.47
  6. Step 6: Final answer
    x = 3,272.38

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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.