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Finding the Fourth Proportional to 5,738.31, 7,915.12 and 4,142.34

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Solution

The fourth proportional to 5,738.31, 7,915.12 and 4,142.34 is: 5,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.31 : 7,915.12 = 4,142.34 : x
  2. Step 2: Convert to fraction form
    5,738.31/7,915.12 = 4,142.34/x
  3. Step 3: Cross multiply
    5,738.31x = 7,915.12 × 4,142.34
  4. Step 4: Simplify right side
    5,738.31x = 32,787,107.82
  5. Step 5: Solve for x
    x = 32,787,107.82/5,738.31
  6. Step 6: Final answer
    x = 5,713.72

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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.