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Finding the Fourth Proportional to 5,589.58, 7,713.60 and 3,071.86

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Solution

The fourth proportional to 5,589.58, 7,713.60 and 3,071.86 is: 4,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.58 : 7,713.60 = 3,071.86 : x
  2. Step 2: Convert to fraction form
    5,589.58/7,713.60 = 3,071.86/x
  3. Step 3: Cross multiply
    5,589.58x = 7,713.60 × 3,071.86
  4. Step 4: Simplify right side
    5,589.58x = 23,695,099.30
  5. Step 5: Solve for x
    x = 23,695,099.30/5,589.58
  6. Step 6: Final answer
    x = 4,239.16

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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.