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Finding the Fourth Proportional to 5,788.25, 8,694.03 and 3,452.82

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Solution

The fourth proportional to 5,788.25, 8,694.03 and 3,452.82 is: 5,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.25 : 8,694.03 = 3,452.82 : x
  2. Step 2: Convert to fraction form
    5,788.25/8,694.03 = 3,452.82/x
  3. Step 3: Cross multiply
    5,788.25x = 8,694.03 × 3,452.82
  4. Step 4: Simplify right side
    5,788.25x = 30,018,920.66
  5. Step 5: Solve for x
    x = 30,018,920.66/5,788.25
  6. Step 6: Final answer
    x = 5,186.18

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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.