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Finding the Fourth Proportional to 3,854.47, 5,776.17 and 2,189.92

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Solution

The fourth proportional to 3,854.47, 5,776.17 and 2,189.92 is: 3,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.47 : 5,776.17 = 2,189.92 : x
  2. Step 2: Convert to fraction form
    3,854.47/5,776.17 = 2,189.92/x
  3. Step 3: Cross multiply
    3,854.47x = 5,776.17 × 2,189.92
  4. Step 4: Simplify right side
    3,854.47x = 12,649,350.21
  5. Step 5: Solve for x
    x = 12,649,350.21/3,854.47
  6. Step 6: Final answer
    x = 3,281.74

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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.