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Finding the Fourth Proportional to 3,858.25, 5,788.20 and 1,549.75

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Solution

The fourth proportional to 3,858.25, 5,788.20 and 1,549.75 is: 2,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.25 : 5,788.20 = 1,549.75 : x
  2. Step 2: Convert to fraction form
    3,858.25/5,788.20 = 1,549.75/x
  3. Step 3: Cross multiply
    3,858.25x = 5,788.20 × 1,549.75
  4. Step 4: Simplify right side
    3,858.25x = 8,970,262.95
  5. Step 5: Solve for x
    x = 8,970,262.95/3,858.25
  6. Step 6: Final answer
    x = 2,324.96

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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.