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Finding the Fourth Proportional to 5,296.02, 7,306.42 and 3,702.24

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Solution

The fourth proportional to 5,296.02, 7,306.42 and 3,702.24 is: 5,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.02 : 7,306.42 = 3,702.24 : x
  2. Step 2: Convert to fraction form
    5,296.02/7,306.42 = 3,702.24/x
  3. Step 3: Cross multiply
    5,296.02x = 7,306.42 × 3,702.24
  4. Step 4: Simplify right side
    5,296.02x = 27,050,120.38
  5. Step 5: Solve for x
    x = 27,050,120.38/5,296.02
  6. Step 6: Final answer
    x = 5,107.64

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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.