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Finding the Fourth Proportional to 3,866.97, 5,350.50 and 3,370.65

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Solution

The fourth proportional to 3,866.97, 5,350.50 and 3,370.65 is: 4,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.97 : 5,350.50 = 3,370.65 : x
  2. Step 2: Convert to fraction form
    3,866.97/5,350.50 = 3,370.65/x
  3. Step 3: Cross multiply
    3,866.97x = 5,350.50 × 3,370.65
  4. Step 4: Simplify right side
    3,866.97x = 18,034,662.83
  5. Step 5: Solve for x
    x = 18,034,662.83/3,866.97
  6. Step 6: Final answer
    x = 4,663.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.