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Finding the Fourth Proportional to 5,381.38, 7,426.02 and 3,023.44

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Solution

The fourth proportional to 5,381.38, 7,426.02 and 3,023.44 is: 4,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.38 : 7,426.02 = 3,023.44 : x
  2. Step 2: Convert to fraction form
    5,381.38/7,426.02 = 3,023.44/x
  3. Step 3: Cross multiply
    5,381.38x = 7,426.02 × 3,023.44
  4. Step 4: Simplify right side
    5,381.38x = 22,452,125.91
  5. Step 5: Solve for x
    x = 22,452,125.91/5,381.38
  6. Step 6: Final answer
    x = 4,172.19

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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.