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Finding the Fourth Proportional to 3,730.67, 5,139.37 and 3,197.87

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Solution

The fourth proportional to 3,730.67, 5,139.37 and 3,197.87 is: 4,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.67 : 5,139.37 = 3,197.87 : x
  2. Step 2: Convert to fraction form
    3,730.67/5,139.37 = 3,197.87/x
  3. Step 3: Cross multiply
    3,730.67x = 5,139.37 × 3,197.87
  4. Step 4: Simplify right side
    3,730.67x = 16,435,034.72
  5. Step 5: Solve for x
    x = 16,435,034.72/3,730.67
  6. Step 6: Final answer
    x = 4,405.39

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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.