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Finding the Fourth Proportional to 3,883.16, 5,822.96 and 1,250.19

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Solution

The fourth proportional to 3,883.16, 5,822.96 and 1,250.19 is: 1,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.16 : 5,822.96 = 1,250.19 : x
  2. Step 2: Convert to fraction form
    3,883.16/5,822.96 = 1,250.19/x
  3. Step 3: Cross multiply
    3,883.16x = 5,822.96 × 1,250.19
  4. Step 4: Simplify right side
    3,883.16x = 7,279,800.11
  5. Step 5: Solve for x
    x = 7,279,800.11/3,883.16
  6. Step 6: Final answer
    x = 1,874.71

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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.