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Finding the Fourth Proportional to 5,702.92, 7,871.78 and 3,709.96

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Solution

The fourth proportional to 5,702.92, 7,871.78 and 3,709.96 is: 5,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.92 : 7,871.78 = 3,709.96 : x
  2. Step 2: Convert to fraction form
    5,702.92/7,871.78 = 3,709.96/x
  3. Step 3: Cross multiply
    5,702.92x = 7,871.78 × 3,709.96
  4. Step 4: Simplify right side
    5,702.92x = 29,203,988.93
  5. Step 5: Solve for x
    x = 29,203,988.93/5,702.92
  6. Step 6: Final answer
    x = 5,120.88

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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.