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Finding the Fourth Proportional to 5,702.13, 7,868.88 and 3,343.82

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Solution

The fourth proportional to 5,702.13, 7,868.88 and 3,343.82 is: 4,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.13 : 7,868.88 = 3,343.82 : x
  2. Step 2: Convert to fraction form
    5,702.13/7,868.88 = 3,343.82/x
  3. Step 3: Cross multiply
    5,702.13x = 7,868.88 × 3,343.82
  4. Step 4: Simplify right side
    5,702.13x = 26,312,078.98
  5. Step 5: Solve for x
    x = 26,312,078.98/5,702.13
  6. Step 6: Final answer
    x = 4,614.43

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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.