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Finding the Fourth Proportional to 5,912.16, 8,868.24 and 2,833.44

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Solution

The fourth proportional to 5,912.16, 8,868.24 and 2,833.44 is: 4,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.16 : 8,868.24 = 2,833.44 : x
  2. Step 2: Convert to fraction form
    5,912.16/8,868.24 = 2,833.44/x
  3. Step 3: Cross multiply
    5,912.16x = 8,868.24 × 2,833.44
  4. Step 4: Simplify right side
    5,912.16x = 25,127,625.95
  5. Step 5: Solve for x
    x = 25,127,625.95/5,912.16
  6. Step 6: Final answer
    x = 4,250.16

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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.