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Finding the Fourth Proportional to 3,982.44, 5,498.22 and 2,566.62

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Solution

The fourth proportional to 3,982.44, 5,498.22 and 2,566.62 is: 3,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.44 : 5,498.22 = 2,566.62 : x
  2. Step 2: Convert to fraction form
    3,982.44/5,498.22 = 2,566.62/x
  3. Step 3: Cross multiply
    3,982.44x = 5,498.22 × 2,566.62
  4. Step 4: Simplify right side
    3,982.44x = 14,111,841.42
  5. Step 5: Solve for x
    x = 14,111,841.42/3,982.44
  6. Step 6: Final answer
    x = 3,543.52

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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.