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Finding the Fourth Proportional to 5,773.68, 8,660.93 and 2,076.44

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Solution

The fourth proportional to 5,773.68, 8,660.93 and 2,076.44 is: 3,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.68 : 8,660.93 = 2,076.44 : x
  2. Step 2: Convert to fraction form
    5,773.68/8,660.93 = 2,076.44/x
  3. Step 3: Cross multiply
    5,773.68x = 8,660.93 × 2,076.44
  4. Step 4: Simplify right side
    5,773.68x = 17,983,847.80
  5. Step 5: Solve for x
    x = 17,983,847.80/5,773.68
  6. Step 6: Final answer
    x = 3,114.80

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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.