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Finding the Fourth Proportional to 5,589.88, 7,714.40 and 3,105.88

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Solution

The fourth proportional to 5,589.88, 7,714.40 and 3,105.88 is: 4,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.88 : 7,714.40 = 3,105.88 : x
  2. Step 2: Convert to fraction form
    5,589.88/7,714.40 = 3,105.88/x
  3. Step 3: Cross multiply
    5,589.88x = 7,714.40 × 3,105.88
  4. Step 4: Simplify right side
    5,589.88x = 23,960,000.67
  5. Step 5: Solve for x
    x = 23,960,000.67/5,589.88
  6. Step 6: Final answer
    x = 4,286.32

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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.