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Finding the Fourth Proportional to 3,998.09, 5,519.93 and 2,582.41

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Solution

The fourth proportional to 3,998.09, 5,519.93 and 2,582.41 is: 3,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.09 : 5,519.93 = 2,582.41 : x
  2. Step 2: Convert to fraction form
    3,998.09/5,519.93 = 2,582.41/x
  3. Step 3: Cross multiply
    3,998.09x = 5,519.93 × 2,582.41
  4. Step 4: Simplify right side
    3,998.09x = 14,254,722.43
  5. Step 5: Solve for x
    x = 14,254,722.43/3,998.09
  6. Step 6: Final answer
    x = 3,565.38

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Why These Related Problems?

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