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Finding the Fourth Proportional to 3,825.54, 5,279.13 and 2,146.95

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Solution

The fourth proportional to 3,825.54, 5,279.13 and 2,146.95 is: 2,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.54 : 5,279.13 = 2,146.95 : x
  2. Step 2: Convert to fraction form
    3,825.54/5,279.13 = 2,146.95/x
  3. Step 3: Cross multiply
    3,825.54x = 5,279.13 × 2,146.95
  4. Step 4: Simplify right side
    3,825.54x = 11,334,028.15
  5. Step 5: Solve for x
    x = 11,334,028.15/3,825.54
  6. Step 6: Final answer
    x = 2,962.73

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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.