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Finding the Fourth Proportional to 4,272.60, 6,404.50 and 2,713.74

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Solution

The fourth proportional to 4,272.60, 6,404.50 and 2,713.74 is: 4,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.60 : 6,404.50 = 2,713.74 : x
  2. Step 2: Convert to fraction form
    4,272.60/6,404.50 = 2,713.74/x
  3. Step 3: Cross multiply
    4,272.60x = 6,404.50 × 2,713.74
  4. Step 4: Simplify right side
    4,272.60x = 17,380,147.83
  5. Step 5: Solve for x
    x = 17,380,147.83/4,272.60
  6. Step 6: Final answer
    x = 4,067.82

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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.