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Finding the Fourth Proportional to 5,002.38, 6,898.10 and 4,296.56

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Solution

The fourth proportional to 5,002.38, 6,898.10 and 4,296.56 is: 5,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.38 : 6,898.10 = 4,296.56 : x
  2. Step 2: Convert to fraction form
    5,002.38/6,898.10 = 4,296.56/x
  3. Step 3: Cross multiply
    5,002.38x = 6,898.10 × 4,296.56
  4. Step 4: Simplify right side
    5,002.38x = 29,638,044.56
  5. Step 5: Solve for x
    x = 29,638,044.56/5,002.38
  6. Step 6: Final answer
    x = 5,924.79

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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.