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Finding the Fourth Proportional to 4,794, 6,616.08 and 2,698.08

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Solution

The fourth proportional to 4,794, 6,616.08 and 2,698.08 is: 3,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794 : 6,616.08 = 2,698.08 : x
  2. Step 2: Convert to fraction form
    4,794/6,616.08 = 2,698.08/x
  3. Step 3: Cross multiply
    4,794x = 6,616.08 × 2,698.08
  4. Step 4: Simplify right side
    4,794x = 17,850,713.13
  5. Step 5: Solve for x
    x = 17,850,713.13/4,794
  6. Step 6: Final answer
    x = 3,723.55

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Why These Related Problems?

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