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Finding the Fourth Proportional to 3,472.54, 5,205.16 and 2,498.11

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Solution

The fourth proportional to 3,472.54, 5,205.16 and 2,498.11 is: 3,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.54 : 5,205.16 = 2,498.11 : x
  2. Step 2: Convert to fraction form
    3,472.54/5,205.16 = 2,498.11/x
  3. Step 3: Cross multiply
    3,472.54x = 5,205.16 × 2,498.11
  4. Step 4: Simplify right side
    3,472.54x = 13,003,052.36
  5. Step 5: Solve for x
    x = 13,003,052.36/3,472.54
  6. Step 6: Final answer
    x = 3,744.54

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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.