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Finding the Fourth Proportional to 3,848.70, 5,773.46 and 1,251.03

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Solution

The fourth proportional to 3,848.70, 5,773.46 and 1,251.03 is: 1,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.70 : 5,773.46 = 1,251.03 : x
  2. Step 2: Convert to fraction form
    3,848.70/5,773.46 = 1,251.03/x
  3. Step 3: Cross multiply
    3,848.70x = 5,773.46 × 1,251.03
  4. Step 4: Simplify right side
    3,848.70x = 7,222,765.41
  5. Step 5: Solve for x
    x = 7,222,765.41/3,848.70
  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.