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Finding the Fourth Proportional to 4,169.41, 5,754.02 and 2,280.92

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Solution

The fourth proportional to 4,169.41, 5,754.02 and 2,280.92 is: 3,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.41 : 5,754.02 = 2,280.92 : x
  2. Step 2: Convert to fraction form
    4,169.41/5,754.02 = 2,280.92/x
  3. Step 3: Cross multiply
    4,169.41x = 5,754.02 × 2,280.92
  4. Step 4: Simplify right side
    4,169.41x = 13,124,419.12
  5. Step 5: Solve for x
    x = 13,124,419.12/4,169.41
  6. Step 6: Final answer
    x = 3,147.79

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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.