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Finding the Fourth Proportional to 3,982.68, 5,498.37 and 2,658.33

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Solution

The fourth proportional to 3,982.68, 5,498.37 and 2,658.33 is: 3,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.68 : 5,498.37 = 2,658.33 : x
  2. Step 2: Convert to fraction form
    3,982.68/5,498.37 = 2,658.33/x
  3. Step 3: Cross multiply
    3,982.68x = 5,498.37 × 2,658.33
  4. Step 4: Simplify right side
    3,982.68x = 14,616,481.92
  5. Step 5: Solve for x
    x = 14,616,481.92/3,982.68
  6. Step 6: Final answer
    x = 3,670.01

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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.