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Finding the Fourth Proportional to 4,202.91, 6,294.65 and 4,057.11

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Solution

The fourth proportional to 4,202.91, 6,294.65 and 4,057.11 is: 6,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.91 : 6,294.65 = 4,057.11 : x
  2. Step 2: Convert to fraction form
    4,202.91/6,294.65 = 4,057.11/x
  3. Step 3: Cross multiply
    4,202.91x = 6,294.65 × 4,057.11
  4. Step 4: Simplify right side
    4,202.91x = 25,538,067.18
  5. Step 5: Solve for x
    x = 25,538,067.18/4,202.91
  6. Step 6: Final answer
    x = 6,076.28

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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.