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Finding the Fourth Proportional to 5,638.96, 8,452.52 and 2,867.68

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Solution

The fourth proportional to 5,638.96, 8,452.52 and 2,867.68 is: 4,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.96 : 8,452.52 = 2,867.68 : x
  2. Step 2: Convert to fraction form
    5,638.96/8,452.52 = 2,867.68/x
  3. Step 3: Cross multiply
    5,638.96x = 8,452.52 × 2,867.68
  4. Step 4: Simplify right side
    5,638.96x = 24,239,122.55
  5. Step 5: Solve for x
    x = 24,239,122.55/5,638.96
  6. Step 6: Final answer
    x = 4,298.51

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