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Finding the Fourth Proportional to 5,744.89, 8,582.42 and 3,648.11

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Solution

The fourth proportional to 5,744.89, 8,582.42 and 3,648.11 is: 5,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.89 : 8,582.42 = 3,648.11 : x
  2. Step 2: Convert to fraction form
    5,744.89/8,582.42 = 3,648.11/x
  3. Step 3: Cross multiply
    5,744.89x = 8,582.42 × 3,648.11
  4. Step 4: Simplify right side
    5,744.89x = 31,309,578.43
  5. Step 5: Solve for x
    x = 31,309,578.43/5,744.89
  6. Step 6: Final answer
    x = 5,449.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.