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Finding the Fourth Proportional to 4,167.87, 6,244.87 and 2,932.68

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Solution

The fourth proportional to 4,167.87, 6,244.87 and 2,932.68 is: 4,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.87 : 6,244.87 = 2,932.68 : x
  2. Step 2: Convert to fraction form
    4,167.87/6,244.87 = 2,932.68/x
  3. Step 3: Cross multiply
    4,167.87x = 6,244.87 × 2,932.68
  4. Step 4: Simplify right side
    4,167.87x = 18,314,205.35
  5. Step 5: Solve for x
    x = 18,314,205.35/4,167.87
  6. Step 6: Final answer
    x = 4,394.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.