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Finding the Fourth Proportional to 3,849.12, 5,773.72 and 1,251.76

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Solution

The fourth proportional to 3,849.12, 5,773.72 and 1,251.76 is: 1,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.12 : 5,773.72 = 1,251.76 : x
  2. Step 2: Convert to fraction form
    3,849.12/5,773.72 = 1,251.76/x
  3. Step 3: Cross multiply
    3,849.12x = 5,773.72 × 1,251.76
  4. Step 4: Simplify right side
    3,849.12x = 7,227,311.75
  5. Step 5: Solve for x
    x = 7,227,311.75/3,849.12
  6. Step 6: Final answer
    x = 1,877.65

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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.