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Finding the Fourth Proportional to 3,738.48, 5,600.40 and 2,749.50

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Solution

The fourth proportional to 3,738.48, 5,600.40 and 2,749.50 is: 4,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.48 : 5,600.40 = 2,749.50 : x
  2. Step 2: Convert to fraction form
    3,738.48/5,600.40 = 2,749.50/x
  3. Step 3: Cross multiply
    3,738.48x = 5,600.40 × 2,749.50
  4. Step 4: Simplify right side
    3,738.48x = 15,398,299.80
  5. Step 5: Solve for x
    x = 15,398,299.80/3,738.48
  6. Step 6: Final answer
    x = 4,118.87

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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.