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Finding the Fourth Proportional to 3,850.90, 5,305.02 and 3,663.30

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Solution

The fourth proportional to 3,850.90, 5,305.02 and 3,663.30 is: 5,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.90 : 5,305.02 = 3,663.30 : x
  2. Step 2: Convert to fraction form
    3,850.90/5,305.02 = 3,663.30/x
  3. Step 3: Cross multiply
    3,850.90x = 5,305.02 × 3,663.30
  4. Step 4: Simplify right side
    3,850.90x = 19,433,853.24
  5. Step 5: Solve for x
    x = 19,433,853.24/3,850.90
  6. Step 6: Final answer
    x = 5,046.58

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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.