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Finding the Fourth Proportional to 3,370.65, 5,054.99 and 1,149.43

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Solution

The fourth proportional to 3,370.65, 5,054.99 and 1,149.43 is: 1,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.65 : 5,054.99 = 1,149.43 : x
  2. Step 2: Convert to fraction form
    3,370.65/5,054.99 = 1,149.43/x
  3. Step 3: Cross multiply
    3,370.65x = 5,054.99 × 1,149.43
  4. Step 4: Simplify right side
    3,370.65x = 5,810,357.16
  5. Step 5: Solve for x
    x = 5,810,357.16/3,370.65
  6. Step 6: Final answer
    x = 1,723.81

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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.