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Finding the Fourth Proportional to 6,593.42, 9,098.85 and 3,609.26

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Solution

The fourth proportional to 6,593.42, 9,098.85 and 3,609.26 is: 4,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.42 : 9,098.85 = 3,609.26 : x
  2. Step 2: Convert to fraction form
    6,593.42/9,098.85 = 3,609.26/x
  3. Step 3: Cross multiply
    6,593.42x = 9,098.85 × 3,609.26
  4. Step 4: Simplify right side
    6,593.42x = 32,840,115.35
  5. Step 5: Solve for x
    x = 32,840,115.35/6,593.42
  6. Step 6: Final answer
    x = 4,980.74

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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.