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Finding the Fourth Proportional to 5,822.80, 8,033.80 and 3,725.20

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Solution

The fourth proportional to 5,822.80, 8,033.80 and 3,725.20 is: 5,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.80 : 8,033.80 = 3,725.20 : x
  2. Step 2: Convert to fraction form
    5,822.80/8,033.80 = 3,725.20/x
  3. Step 3: Cross multiply
    5,822.80x = 8,033.80 × 3,725.20
  4. Step 4: Simplify right side
    5,822.80x = 29,927,511.76
  5. Step 5: Solve for x
    x = 29,927,511.76/5,822.80
  6. Step 6: Final answer
    x = 5,139.71

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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.