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Finding the Fourth Proportional to 3,889.64, 5,834.46 and 2,581.76

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Solution

The fourth proportional to 3,889.64, 5,834.46 and 2,581.76 is: 3,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.64 : 5,834.46 = 2,581.76 : x
  2. Step 2: Convert to fraction form
    3,889.64/5,834.46 = 2,581.76/x
  3. Step 3: Cross multiply
    3,889.64x = 5,834.46 × 2,581.76
  4. Step 4: Simplify right side
    3,889.64x = 15,063,146.28
  5. Step 5: Solve for x
    x = 15,063,146.28/3,889.64
  6. Step 6: Final answer
    x = 3,872.64

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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.