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Finding the Fourth Proportional to 4,003.70, 5,524.22 and 2,324.13

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Solution

The fourth proportional to 4,003.70, 5,524.22 and 2,324.13 is: 3,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.70 : 5,524.22 = 2,324.13 : x
  2. Step 2: Convert to fraction form
    4,003.70/5,524.22 = 2,324.13/x
  3. Step 3: Cross multiply
    4,003.70x = 5,524.22 × 2,324.13
  4. Step 4: Simplify right side
    4,003.70x = 12,838,993.81
  5. Step 5: Solve for x
    x = 12,838,993.81/4,003.70
  6. Step 6: Final answer
    x = 3,206.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.