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Finding the Fourth Proportional to 3,742.60, 5,613.60 and 2,822.86

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Solution

The fourth proportional to 3,742.60, 5,613.60 and 2,822.86 is: 4,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.60 : 5,613.60 = 2,822.86 : x
  2. Step 2: Convert to fraction form
    3,742.60/5,613.60 = 2,822.86/x
  3. Step 3: Cross multiply
    3,742.60x = 5,613.60 × 2,822.86
  4. Step 4: Simplify right side
    3,742.60x = 15,846,406.90
  5. Step 5: Solve for x
    x = 15,846,406.90/3,742.60
  6. Step 6: Final answer
    x = 4,234.06

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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.