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Finding the Fourth Proportional to 3,788.97, 5,229.59 and 2,546.25

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Solution

The fourth proportional to 3,788.97, 5,229.59 and 2,546.25 is: 3,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.97 : 5,229.59 = 2,546.25 : x
  2. Step 2: Convert to fraction form
    3,788.97/5,229.59 = 2,546.25/x
  3. Step 3: Cross multiply
    3,788.97x = 5,229.59 × 2,546.25
  4. Step 4: Simplify right side
    3,788.97x = 13,315,830.81
  5. Step 5: Solve for x
    x = 13,315,830.81/3,788.97
  6. Step 6: Final answer
    x = 3,514.37

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