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Finding the Fourth Proportional to 3,845.68, 5,768.88 and 1,247.92

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Solution

The fourth proportional to 3,845.68, 5,768.88 and 1,247.92 is: 1,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.68 : 5,768.88 = 1,247.92 : x
  2. Step 2: Convert to fraction form
    3,845.68/5,768.88 = 1,247.92/x
  3. Step 3: Cross multiply
    3,845.68x = 5,768.88 × 1,247.92
  4. Step 4: Simplify right side
    3,845.68x = 7,199,100.73
  5. Step 5: Solve for x
    x = 7,199,100.73/3,845.68
  6. Step 6: Final answer
    x = 1,872.00

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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.