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Finding the Fourth Proportional to 5,722.82, 8,582.19 and 2,600.21

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Solution

The fourth proportional to 5,722.82, 8,582.19 and 2,600.21 is: 3,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.82 : 8,582.19 = 2,600.21 : x
  2. Step 2: Convert to fraction form
    5,722.82/8,582.19 = 2,600.21/x
  3. Step 3: Cross multiply
    5,722.82x = 8,582.19 × 2,600.21
  4. Step 4: Simplify right side
    5,722.82x = 22,315,496.26
  5. Step 5: Solve for x
    x = 22,315,496.26/5,722.82
  6. Step 6: Final answer
    x = 3,899.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.