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Finding the Fourth Proportional to 4,177.89, 5,766.12 and 2,409.12

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Solution

The fourth proportional to 4,177.89, 5,766.12 and 2,409.12 is: 3,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.89 : 5,766.12 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    4,177.89/5,766.12 = 2,409.12/x
  3. Step 3: Cross multiply
    4,177.89x = 5,766.12 × 2,409.12
  4. Step 4: Simplify right side
    4,177.89x = 13,891,275.01
  5. Step 5: Solve for x
    x = 13,891,275.01/4,177.89
  6. Step 6: Final answer
    x = 3,324.95

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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.