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Finding the Fourth Proportional to 3,711.86, 5,125.78 and 2,387.82

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Solution

The fourth proportional to 3,711.86, 5,125.78 and 2,387.82 is: 3,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.86 : 5,125.78 = 2,387.82 : x
  2. Step 2: Convert to fraction form
    3,711.86/5,125.78 = 2,387.82/x
  3. Step 3: Cross multiply
    3,711.86x = 5,125.78 × 2,387.82
  4. Step 4: Simplify right side
    3,711.86x = 12,239,426.17
  5. Step 5: Solve for x
    x = 12,239,426.17/3,711.86
  6. Step 6: Final answer
    x = 3,297.38

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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.