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Finding the Fourth Proportional to 3,883.20, 5,823.01 and 1,250.22

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Solution

The fourth proportional to 3,883.20, 5,823.01 and 1,250.22 is: 1,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.20 : 5,823.01 = 1,250.22 : x
  2. Step 2: Convert to fraction form
    3,883.20/5,823.01 = 1,250.22/x
  3. Step 3: Cross multiply
    3,883.20x = 5,823.01 × 1,250.22
  4. Step 4: Simplify right side
    3,883.20x = 7,280,043.56
  5. Step 5: Solve for x
    x = 7,280,043.56/3,883.20
  6. Step 6: Final answer
    x = 1,874.75

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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.