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Finding the Fourth Proportional to 5,924.24, 8,860.92 and 3,452.88

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Solution

The fourth proportional to 5,924.24, 8,860.92 and 3,452.88 is: 5,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.24 : 8,860.92 = 3,452.88 : x
  2. Step 2: Convert to fraction form
    5,924.24/8,860.92 = 3,452.88/x
  3. Step 3: Cross multiply
    5,924.24x = 8,860.92 × 3,452.88
  4. Step 4: Simplify right side
    5,924.24x = 30,595,693.45
  5. Step 5: Solve for x
    x = 30,595,693.45/5,924.24
  6. Step 6: Final answer
    x = 5,164.49

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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.