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Finding the Fourth Proportional to 3,773.44, 5,649.18 and 2,803.84

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Solution

The fourth proportional to 3,773.44, 5,649.18 and 2,803.84 is: 4,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.44 : 5,649.18 = 2,803.84 : x
  2. Step 2: Convert to fraction form
    3,773.44/5,649.18 = 2,803.84/x
  3. Step 3: Cross multiply
    3,773.44x = 5,649.18 × 2,803.84
  4. Step 4: Simplify right side
    3,773.44x = 15,839,396.85
  5. Step 5: Solve for x
    x = 15,839,396.85/3,773.44
  6. Step 6: Final answer
    x = 4,197.60

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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.