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Finding the Fourth Proportional to 5,381.68, 7,426.68 and 3,023.80

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Solution

The fourth proportional to 5,381.68, 7,426.68 and 3,023.80 is: 4,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.68 : 7,426.68 = 3,023.80 : x
  2. Step 2: Convert to fraction form
    5,381.68/7,426.68 = 3,023.80/x
  3. Step 3: Cross multiply
    5,381.68x = 7,426.68 × 3,023.80
  4. Step 4: Simplify right side
    5,381.68x = 22,456,794.98
  5. Step 5: Solve for x
    x = 22,456,794.98/5,381.68
  6. Step 6: Final answer
    x = 4,172.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.