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Finding the Fourth Proportional to 3,749.89, 5,624.81 and 1,251.27

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Solution

The fourth proportional to 3,749.89, 5,624.81 and 1,251.27 is: 1,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.89 : 5,624.81 = 1,251.27 : x
  2. Step 2: Convert to fraction form
    3,749.89/5,624.81 = 1,251.27/x
  3. Step 3: Cross multiply
    3,749.89x = 5,624.81 × 1,251.27
  4. Step 4: Simplify right side
    3,749.89x = 7,038,149.75
  5. Step 5: Solve for x
    x = 7,038,149.75/3,749.89
  6. Step 6: Final answer
    x = 1,876.90

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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.