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Finding the Fourth Proportional to 5,977.68, 8,246.97 and 3,738.71

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Solution

The fourth proportional to 5,977.68, 8,246.97 and 3,738.71 is: 5,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.68 : 8,246.97 = 3,738.71 : x
  2. Step 2: Convert to fraction form
    5,977.68/8,246.97 = 3,738.71/x
  3. Step 3: Cross multiply
    5,977.68x = 8,246.97 × 3,738.71
  4. Step 4: Simplify right side
    5,977.68x = 30,832,987.97
  5. Step 5: Solve for x
    x = 30,832,987.97/5,977.68
  6. Step 6: Final answer
    x = 5,158.02

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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.