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Finding the Fourth Proportional to 3,742.24, 5,618.22 and 2,877.16

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Solution

The fourth proportional to 3,742.24, 5,618.22 and 2,877.16 is: 4,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.24 : 5,618.22 = 2,877.16 : x
  2. Step 2: Convert to fraction form
    3,742.24/5,618.22 = 2,877.16/x
  3. Step 3: Cross multiply
    3,742.24x = 5,618.22 × 2,877.16
  4. Step 4: Simplify right side
    3,742.24x = 16,164,517.86
  5. Step 5: Solve for x
    x = 16,164,517.86/3,742.24
  6. Step 6: Final answer
    x = 4,319.48

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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.