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Finding the Fourth Proportional to 5,841.66, 8,061.42 and 3,189.12

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Solution

The fourth proportional to 5,841.66, 8,061.42 and 3,189.12 is: 4,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.66 : 8,061.42 = 3,189.12 : x
  2. Step 2: Convert to fraction form
    5,841.66/8,061.42 = 3,189.12/x
  3. Step 3: Cross multiply
    5,841.66x = 8,061.42 × 3,189.12
  4. Step 4: Simplify right side
    5,841.66x = 25,708,835.75
  5. Step 5: Solve for x
    x = 25,708,835.75/5,841.66
  6. Step 6: Final answer
    x = 4,400.95

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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.