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Finding the Fourth Proportional to 5,381.40, 7,391.31 and 5,251.80

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Solution

The fourth proportional to 5,381.40, 7,391.31 and 5,251.80 is: 7,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.40 : 7,391.31 = 5,251.80 : x
  2. Step 2: Convert to fraction form
    5,381.40/7,391.31 = 5,251.80/x
  3. Step 3: Cross multiply
    5,381.40x = 7,391.31 × 5,251.80
  4. Step 4: Simplify right side
    5,381.40x = 38,817,681.86
  5. Step 5: Solve for x
    x = 38,817,681.86/5,381.40
  6. Step 6: Final answer
    x = 7,213.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.