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Finding the Fourth Proportional to 3,454.88, 5,182.40 and 2,694.56

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Solution

The fourth proportional to 3,454.88, 5,182.40 and 2,694.56 is: 4,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.88 : 5,182.40 = 2,694.56 : x
  2. Step 2: Convert to fraction form
    3,454.88/5,182.40 = 2,694.56/x
  3. Step 3: Cross multiply
    3,454.88x = 5,182.40 × 2,694.56
  4. Step 4: Simplify right side
    3,454.88x = 13,964,287.74
  5. Step 5: Solve for x
    x = 13,964,287.74/3,454.88
  6. Step 6: Final answer
    x = 4,041.90

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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.