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Finding the Fourth Proportional to 5,659.89, 8,498.17 and 3,165.96

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Solution

The fourth proportional to 5,659.89, 8,498.17 and 3,165.96 is: 4,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.89 : 8,498.17 = 3,165.96 : x
  2. Step 2: Convert to fraction form
    5,659.89/8,498.17 = 3,165.96/x
  3. Step 3: Cross multiply
    5,659.89x = 8,498.17 × 3,165.96
  4. Step 4: Simplify right side
    5,659.89x = 26,904,871.71
  5. Step 5: Solve for x
    x = 26,904,871.71/5,659.89
  6. Step 6: Final answer
    x = 4,753.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.