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Finding the Fourth Proportional to 3,546.52, 4,894.16 and 2,149.24

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Solution

The fourth proportional to 3,546.52, 4,894.16 and 2,149.24 is: 2,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.52 : 4,894.16 = 2,149.24 : x
  2. Step 2: Convert to fraction form
    3,546.52/4,894.16 = 2,149.24/x
  3. Step 3: Cross multiply
    3,546.52x = 4,894.16 × 2,149.24
  4. Step 4: Simplify right side
    3,546.52x = 10,518,724.44
  5. Step 5: Solve for x
    x = 10,518,724.44/3,546.52
  6. Step 6: Final answer
    x = 2,965.93

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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.