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Finding the Fourth Proportional to 5,883.09, 8,822.67 and 2,372.19

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Solution

The fourth proportional to 5,883.09, 8,822.67 and 2,372.19 is: 3,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.09 : 8,822.67 = 2,372.19 : x
  2. Step 2: Convert to fraction form
    5,883.09/8,822.67 = 2,372.19/x
  3. Step 3: Cross multiply
    5,883.09x = 8,822.67 × 2,372.19
  4. Step 4: Simplify right side
    5,883.09x = 20,929,049.55
  5. Step 5: Solve for x
    x = 20,929,049.55/5,883.09
  6. Step 6: Final answer
    x = 3,557.49

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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.