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Finding the Fourth Proportional to 3,952.68, 5,454.69 and 2,274.41

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Solution

The fourth proportional to 3,952.68, 5,454.69 and 2,274.41 is: 3,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.68 : 5,454.69 = 2,274.41 : x
  2. Step 2: Convert to fraction form
    3,952.68/5,454.69 = 2,274.41/x
  3. Step 3: Cross multiply
    3,952.68x = 5,454.69 × 2,274.41
  4. Step 4: Simplify right side
    3,952.68x = 12,406,201.48
  5. Step 5: Solve for x
    x = 12,406,201.48/3,952.68
  6. Step 6: Final answer
    x = 3,138.68

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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.