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Finding the Fourth Proportional to 4,665.97, 6,996.55 and 1,378.65

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Solution

The fourth proportional to 4,665.97, 6,996.55 and 1,378.65 is: 2,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.97 : 6,996.55 = 1,378.65 : x
  2. Step 2: Convert to fraction form
    4,665.97/6,996.55 = 1,378.65/x
  3. Step 3: Cross multiply
    4,665.97x = 6,996.55 × 1,378.65
  4. Step 4: Simplify right side
    4,665.97x = 9,645,793.66
  5. Step 5: Solve for x
    x = 9,645,793.66/4,665.97
  6. Step 6: Final answer
    x = 2,067.26

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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.