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Finding the Fourth Proportional to 5,589.16, 7,714.76 and 3,599.71

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Solution

The fourth proportional to 5,589.16, 7,714.76 and 3,599.71 is: 4,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.16 : 7,714.76 = 3,599.71 : x
  2. Step 2: Convert to fraction form
    5,589.16/7,714.76 = 3,599.71/x
  3. Step 3: Cross multiply
    5,589.16x = 7,714.76 × 3,599.71
  4. Step 4: Simplify right side
    5,589.16x = 27,770,861.43
  5. Step 5: Solve for x
    x = 27,770,861.43/5,589.16
  6. Step 6: Final answer
    x = 4,968.70

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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.