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Finding the Fourth Proportional to 3,780.12, 5,668 and 1,468.92

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Solution

The fourth proportional to 3,780.12, 5,668 and 1,468.92 is: 2,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.12 : 5,668 = 1,468.92 : x
  2. Step 2: Convert to fraction form
    3,780.12/5,668 = 1,468.92/x
  3. Step 3: Cross multiply
    3,780.12x = 5,668 × 1,468.92
  4. Step 4: Simplify right side
    3,780.12x = 8,325,838.56
  5. Step 5: Solve for x
    x = 8,325,838.56/3,780.12
  6. Step 6: Final answer
    x = 2,202.53

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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.