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Finding the Fourth Proportional to 3,137.67, 4,330 and 2,142.92

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Solution

The fourth proportional to 3,137.67, 4,330 and 2,142.92 is: 2,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.67 : 4,330 = 2,142.92 : x
  2. Step 2: Convert to fraction form
    3,137.67/4,330 = 2,142.92/x
  3. Step 3: Cross multiply
    3,137.67x = 4,330 × 2,142.92
  4. Step 4: Simplify right side
    3,137.67x = 9,278,821.95
  5. Step 5: Solve for x
    x = 9,278,821.95/3,137.67
  6. Step 6: Final answer
    x = 2,957.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.