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Finding the Fourth Proportional to 3,825.61, 5,279.12 and 2,146.86

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Solution

The fourth proportional to 3,825.61, 5,279.12 and 2,146.86 is: 2,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.61 : 5,279.12 = 2,146.86 : x
  2. Step 2: Convert to fraction form
    3,825.61/5,279.12 = 2,146.86/x
  3. Step 3: Cross multiply
    3,825.61x = 5,279.12 × 2,146.86
  4. Step 4: Simplify right side
    3,825.61x = 11,333,531.56
  5. Step 5: Solve for x
    x = 11,333,531.56/3,825.61
  6. Step 6: Final answer
    x = 2,962.55

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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.