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Finding the Fourth Proportional to 3,848.40, 5,772.24 and 1,251.20

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Solution

The fourth proportional to 3,848.40, 5,772.24 and 1,251.20 is: 1,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.40 : 5,772.24 = 1,251.20 : x
  2. Step 2: Convert to fraction form
    3,848.40/5,772.24 = 1,251.20/x
  3. Step 3: Cross multiply
    3,848.40x = 5,772.24 × 1,251.20
  4. Step 4: Simplify right side
    3,848.40x = 7,222,226.69
  5. Step 5: Solve for x
    x = 7,222,226.69/3,848.40
  6. Step 6: Final answer
    x = 1,876.68

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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.