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Finding the Fourth Proportional to 3,998.26, 5,520.53 and 2,582.78

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Solution

The fourth proportional to 3,998.26, 5,520.53 and 2,582.78 is: 3,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.26 : 5,520.53 = 2,582.78 : x
  2. Step 2: Convert to fraction form
    3,998.26/5,520.53 = 2,582.78/x
  3. Step 3: Cross multiply
    3,998.26x = 5,520.53 × 2,582.78
  4. Step 4: Simplify right side
    3,998.26x = 14,258,293.33
  5. Step 5: Solve for x
    x = 14,258,293.33/3,998.26
  6. Step 6: Final answer
    x = 3,566.12

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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.