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Finding the Fourth Proportional to 3,753.44, 5,630.22 and 1,156.37

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Solution

The fourth proportional to 3,753.44, 5,630.22 and 1,156.37 is: 1,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.44 : 5,630.22 = 1,156.37 : x
  2. Step 2: Convert to fraction form
    3,753.44/5,630.22 = 1,156.37/x
  3. Step 3: Cross multiply
    3,753.44x = 5,630.22 × 1,156.37
  4. Step 4: Simplify right side
    3,753.44x = 6,510,589.35
  5. Step 5: Solve for x
    x = 6,510,589.35/3,753.44
  6. Step 6: Final answer
    x = 1,734.57

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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.