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Finding the Fourth Proportional to 3,881.32, 5,818.18 and 1,540.54

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Solution

The fourth proportional to 3,881.32, 5,818.18 and 1,540.54 is: 2,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.32 : 5,818.18 = 1,540.54 : x
  2. Step 2: Convert to fraction form
    3,881.32/5,818.18 = 1,540.54/x
  3. Step 3: Cross multiply
    3,881.32x = 5,818.18 × 1,540.54
  4. Step 4: Simplify right side
    3,881.32x = 8,963,161.69
  5. Step 5: Solve for x
    x = 8,963,161.69/3,881.32
  6. Step 6: Final answer
    x = 2,309.31

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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.