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Finding the Fourth Proportional to 5,126.22, 7,690 and 1,839.68

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Solution

The fourth proportional to 5,126.22, 7,690 and 1,839.68 is: 2,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.22 : 7,690 = 1,839.68 : x
  2. Step 2: Convert to fraction form
    5,126.22/7,690 = 1,839.68/x
  3. Step 3: Cross multiply
    5,126.22x = 7,690 × 1,839.68
  4. Step 4: Simplify right side
    5,126.22x = 14,147,139.20
  5. Step 5: Solve for x
    x = 14,147,139.20/5,126.22
  6. Step 6: Final answer
    x = 2,759.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.