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Finding the Fourth Proportional to 5,772.96, 8,660.22 and 1,824.60

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Solution

The fourth proportional to 5,772.96, 8,660.22 and 1,824.60 is: 2,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.96 : 8,660.22 = 1,824.60 : x
  2. Step 2: Convert to fraction form
    5,772.96/8,660.22 = 1,824.60/x
  3. Step 3: Cross multiply
    5,772.96x = 8,660.22 × 1,824.60
  4. Step 4: Simplify right side
    5,772.96x = 15,801,437.41
  5. Step 5: Solve for x
    x = 15,801,437.41/5,772.96
  6. Step 6: Final answer
    x = 2,737.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.