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Finding the Fourth Proportional to 5,589.71, 7,712.21 and 3,600.96

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Solution

The fourth proportional to 5,589.71, 7,712.21 and 3,600.96 is: 4,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.71 : 7,712.21 = 3,600.96 : x
  2. Step 2: Convert to fraction form
    5,589.71/7,712.21 = 3,600.96/x
  3. Step 3: Cross multiply
    5,589.71x = 7,712.21 × 3,600.96
  4. Step 4: Simplify right side
    5,589.71x = 27,771,339.80
  5. Step 5: Solve for x
    x = 27,771,339.80/5,589.71
  6. Step 6: Final answer
    x = 4,968.30

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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.