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Finding the Fourth Proportional to 3,877.20, 5,818.19 and 1,536.81

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Solution

The fourth proportional to 3,877.20, 5,818.19 and 1,536.81 is: 2,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.20 : 5,818.19 = 1,536.81 : x
  2. Step 2: Convert to fraction form
    3,877.20/5,818.19 = 1,536.81/x
  3. Step 3: Cross multiply
    3,877.20x = 5,818.19 × 1,536.81
  4. Step 4: Simplify right side
    3,877.20x = 8,941,452.57
  5. Step 5: Solve for x
    x = 8,941,452.57/3,877.20
  6. Step 6: Final answer
    x = 2,306.16

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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.