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Finding the Fourth Proportional to 5,067.90, 6,966.86 and 4,357.13

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Solution

The fourth proportional to 5,067.90, 6,966.86 and 4,357.13 is: 5,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.90 : 6,966.86 = 4,357.13 : x
  2. Step 2: Convert to fraction form
    5,067.90/6,966.86 = 4,357.13/x
  3. Step 3: Cross multiply
    5,067.90x = 6,966.86 × 4,357.13
  4. Step 4: Simplify right side
    5,067.90x = 30,355,458.09
  5. Step 5: Solve for x
    x = 30,355,458.09/5,067.90
  6. Step 6: Final answer
    x = 5,989.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.