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Finding the Fourth Proportional to 5,414.76, 8,131.42 and 3,347

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Solution

The fourth proportional to 5,414.76, 8,131.42 and 3,347 is: 5,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.76 : 8,131.42 = 3,347 : x
  2. Step 2: Convert to fraction form
    5,414.76/8,131.42 = 3,347/x
  3. Step 3: Cross multiply
    5,414.76x = 8,131.42 × 3,347
  4. Step 4: Simplify right side
    5,414.76x = 27,215,862.74
  5. Step 5: Solve for x
    x = 27,215,862.74/5,414.76
  6. Step 6: Final answer
    x = 5,026.24

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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.