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Finding the Fourth Proportional to 3,379.12, 5,067.87 and 913.78

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Solution

The fourth proportional to 3,379.12, 5,067.87 and 913.78 is: 1,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.12 : 5,067.87 = 913.78 : x
  2. Step 2: Convert to fraction form
    3,379.12/5,067.87 = 913.78/x
  3. Step 3: Cross multiply
    3,379.12x = 5,067.87 × 913.78
  4. Step 4: Simplify right side
    3,379.12x = 4,630,921.16
  5. Step 5: Solve for x
    x = 4,630,921.16/3,379.12
  6. Step 6: Final answer
    x = 1,370.45

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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.