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Finding the Fourth Proportional to 6,132.86, 8,465.78 and 3,895.97

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Solution

The fourth proportional to 6,132.86, 8,465.78 and 3,895.97 is: 5,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.86 : 8,465.78 = 3,895.97 : x
  2. Step 2: Convert to fraction form
    6,132.86/8,465.78 = 3,895.97/x
  3. Step 3: Cross multiply
    6,132.86x = 8,465.78 × 3,895.97
  4. Step 4: Simplify right side
    6,132.86x = 32,982,424.91
  5. Step 5: Solve for x
    x = 32,982,424.91/6,132.86
  6. Step 6: Final answer
    x = 5,377.98

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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.