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Finding the Fourth Proportional to 3,717.92, 5,576.84 and 1,122.68

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Solution

The fourth proportional to 3,717.92, 5,576.84 and 1,122.68 is: 1,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.92 : 5,576.84 = 1,122.68 : x
  2. Step 2: Convert to fraction form
    3,717.92/5,576.84 = 1,122.68/x
  3. Step 3: Cross multiply
    3,717.92x = 5,576.84 × 1,122.68
  4. Step 4: Simplify right side
    3,717.92x = 6,261,006.73
  5. Step 5: Solve for x
    x = 6,261,006.73/3,717.92
  6. Step 6: Final answer
    x = 1,684.01

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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.