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Finding the Fourth Proportional to 5,631.42, 8,446.24 and 1,883.26

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Solution

The fourth proportional to 5,631.42, 8,446.24 and 1,883.26 is: 2,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.42 : 8,446.24 = 1,883.26 : x
  2. Step 2: Convert to fraction form
    5,631.42/8,446.24 = 1,883.26/x
  3. Step 3: Cross multiply
    5,631.42x = 8,446.24 × 1,883.26
  4. Step 4: Simplify right side
    5,631.42x = 15,906,465.94
  5. Step 5: Solve for x
    x = 15,906,465.94/5,631.42
  6. Step 6: Final answer
    x = 2,824.59

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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.