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Finding the Fourth Proportional to 4,616.88, 6,917.12 and 2,642.43

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Solution

The fourth proportional to 4,616.88, 6,917.12 and 2,642.43 is: 3,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.88 : 6,917.12 = 2,642.43 : x
  2. Step 2: Convert to fraction form
    4,616.88/6,917.12 = 2,642.43/x
  3. Step 3: Cross multiply
    4,616.88x = 6,917.12 × 2,642.43
  4. Step 4: Simplify right side
    4,616.88x = 18,277,992.19
  5. Step 5: Solve for x
    x = 18,277,992.19/4,616.88
  6. Step 6: Final answer
    x = 3,958.95

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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.