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Finding the Fourth Proportional to 5,806.16, 8,015.82 and 3,822.48

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Solution

The fourth proportional to 5,806.16, 8,015.82 and 3,822.48 is: 5,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.16 : 8,015.82 = 3,822.48 : x
  2. Step 2: Convert to fraction form
    5,806.16/8,015.82 = 3,822.48/x
  3. Step 3: Cross multiply
    5,806.16x = 8,015.82 × 3,822.48
  4. Step 4: Simplify right side
    5,806.16x = 30,640,252.44
  5. Step 5: Solve for x
    x = 30,640,252.44/5,806.16
  6. Step 6: Final answer
    x = 5,277.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.