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Finding the Fourth Proportional to 3,853.14, 5,749.46 and 3,618.04

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Solution

The fourth proportional to 3,853.14, 5,749.46 and 3,618.04 is: 5,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.14 : 5,749.46 = 3,618.04 : x
  2. Step 2: Convert to fraction form
    3,853.14/5,749.46 = 3,618.04/x
  3. Step 3: Cross multiply
    3,853.14x = 5,749.46 × 3,618.04
  4. Step 4: Simplify right side
    3,853.14x = 20,801,776.26
  5. Step 5: Solve for x
    x = 20,801,776.26/3,853.14
  6. Step 6: Final answer
    x = 5,398.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.