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Finding the Fourth Proportional to 5,538.62, 8,298.67 and 3,892.22

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Solution

The fourth proportional to 5,538.62, 8,298.67 and 3,892.22 is: 5,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.62 : 8,298.67 = 3,892.22 : x
  2. Step 2: Convert to fraction form
    5,538.62/8,298.67 = 3,892.22/x
  3. Step 3: Cross multiply
    5,538.62x = 8,298.67 × 3,892.22
  4. Step 4: Simplify right side
    5,538.62x = 32,300,249.35
  5. Step 5: Solve for x
    x = 32,300,249.35/5,538.62
  6. Step 6: Final answer
    x = 5,831.82

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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.