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Finding the Fourth Proportional to 3,842.69, 5,765.91 and 1,377.70

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Solution

The fourth proportional to 3,842.69, 5,765.91 and 1,377.70 is: 2,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.69 : 5,765.91 = 1,377.70 : x
  2. Step 2: Convert to fraction form
    3,842.69/5,765.91 = 1,377.70/x
  3. Step 3: Cross multiply
    3,842.69x = 5,765.91 × 1,377.70
  4. Step 4: Simplify right side
    3,842.69x = 7,943,658.49
  5. Step 5: Solve for x
    x = 7,943,658.49/3,842.69
  6. Step 6: Final answer
    x = 2,067.22

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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.