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Finding the Fourth Proportional to 5,381.57, 7,426.50 and 3,143.78

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Solution

The fourth proportional to 5,381.57, 7,426.50 and 3,143.78 is: 4,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.57 : 7,426.50 = 3,143.78 : x
  2. Step 2: Convert to fraction form
    5,381.57/7,426.50 = 3,143.78/x
  3. Step 3: Cross multiply
    5,381.57x = 7,426.50 × 3,143.78
  4. Step 4: Simplify right side
    5,381.57x = 23,347,261.10
  5. Step 5: Solve for x
    x = 23,347,261.10/5,381.57
  6. Step 6: Final answer
    x = 4,338.37

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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.