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Finding the Fourth Proportional to 5,205.89, 7,808.25 and 2,833.18

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Solution

The fourth proportional to 5,205.89, 7,808.25 and 2,833.18 is: 4,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.89 : 7,808.25 = 2,833.18 : x
  2. Step 2: Convert to fraction form
    5,205.89/7,808.25 = 2,833.18/x
  3. Step 3: Cross multiply
    5,205.89x = 7,808.25 × 2,833.18
  4. Step 4: Simplify right side
    5,205.89x = 22,122,177.74
  5. Step 5: Solve for x
    x = 22,122,177.74/5,205.89
  6. Step 6: Final answer
    x = 4,249.45

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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.