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Finding the Fourth Proportional to 5,636.96, 8,449.52 and 2,865.68

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Solution

The fourth proportional to 5,636.96, 8,449.52 and 2,865.68 is: 4,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.96 : 8,449.52 = 2,865.68 : x
  2. Step 2: Convert to fraction form
    5,636.96/8,449.52 = 2,865.68/x
  3. Step 3: Cross multiply
    5,636.96x = 8,449.52 × 2,865.68
  4. Step 4: Simplify right side
    5,636.96x = 24,213,620.47
  5. Step 5: Solve for x
    x = 24,213,620.47/5,636.96
  6. Step 6: Final answer
    x = 4,295.51

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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.