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Finding the Fourth Proportional to 3,853.14, 5,308.13 and 3,665.54

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Solution

The fourth proportional to 3,853.14, 5,308.13 and 3,665.54 is: 5,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.14 : 5,308.13 = 3,665.54 : x
  2. Step 2: Convert to fraction form
    3,853.14/5,308.13 = 3,665.54/x
  3. Step 3: Cross multiply
    3,853.14x = 5,308.13 × 3,665.54
  4. Step 4: Simplify right side
    3,853.14x = 19,457,117.97
  5. Step 5: Solve for x
    x = 19,457,117.97/3,853.14
  6. Step 6: Final answer
    x = 5,049.68

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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.