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Finding the Fourth Proportional to 5,589.74, 7,713.72 and 3,071.78

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Solution

The fourth proportional to 5,589.74, 7,713.72 and 3,071.78 is: 4,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.74 : 7,713.72 = 3,071.78 : x
  2. Step 2: Convert to fraction form
    5,589.74/7,713.72 = 3,071.78/x
  3. Step 3: Cross multiply
    5,589.74x = 7,713.72 × 3,071.78
  4. Step 4: Simplify right side
    5,589.74x = 23,694,850.82
  5. Step 5: Solve for x
    x = 23,694,850.82/5,589.74
  6. Step 6: Final answer
    x = 4,238.99

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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.