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Finding the Fourth Proportional to 3,894.62, 5,841.78 and 2,653.16

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Solution

The fourth proportional to 3,894.62, 5,841.78 and 2,653.16 is: 3,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.62 : 5,841.78 = 2,653.16 : x
  2. Step 2: Convert to fraction form
    3,894.62/5,841.78 = 2,653.16/x
  3. Step 3: Cross multiply
    3,894.62x = 5,841.78 × 2,653.16
  4. Step 4: Simplify right side
    3,894.62x = 15,499,177.02
  5. Step 5: Solve for x
    x = 15,499,177.02/3,894.62
  6. Step 6: Final answer
    x = 3,979.64

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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.