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Finding the Fourth Proportional to 5,702.13, 7,868.97 and 3,343.77

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Solution

The fourth proportional to 5,702.13, 7,868.97 and 3,343.77 is: 4,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.13 : 7,868.97 = 3,343.77 : x
  2. Step 2: Convert to fraction form
    5,702.13/7,868.97 = 3,343.77/x
  3. Step 3: Cross multiply
    5,702.13x = 7,868.97 × 3,343.77
  4. Step 4: Simplify right side
    5,702.13x = 26,312,025.82
  5. Step 5: Solve for x
    x = 26,312,025.82/5,702.13
  6. Step 6: Final answer
    x = 4,614.42

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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.