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Finding the Fourth Proportional to 3,147.87, 4,349.70 and 2,262.15

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Solution

The fourth proportional to 3,147.87, 4,349.70 and 2,262.15 is: 3,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.87 : 4,349.70 = 2,262.15 : x
  2. Step 2: Convert to fraction form
    3,147.87/4,349.70 = 2,262.15/x
  3. Step 3: Cross multiply
    3,147.87x = 4,349.70 × 2,262.15
  4. Step 4: Simplify right side
    3,147.87x = 9,839,673.86
  5. Step 5: Solve for x
    x = 9,839,673.86/3,147.87
  6. Step 6: Final answer
    x = 3,125.82

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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.