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Finding the Fourth Proportional to 3,844.66, 5,767.50 and 1,379.76

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Solution

The fourth proportional to 3,844.66, 5,767.50 and 1,379.76 is: 2,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.66 : 5,767.50 = 1,379.76 : x
  2. Step 2: Convert to fraction form
    3,844.66/5,767.50 = 1,379.76/x
  3. Step 3: Cross multiply
    3,844.66x = 5,767.50 × 1,379.76
  4. Step 4: Simplify right side
    3,844.66x = 7,957,765.80
  5. Step 5: Solve for x
    x = 7,957,765.80/3,844.66
  6. Step 6: Final answer
    x = 2,069.82

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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.