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Finding the Fourth Proportional to 4,630.97, 6,943.36 and 2,551.97

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Solution

The fourth proportional to 4,630.97, 6,943.36 and 2,551.97 is: 3,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.97 : 6,943.36 = 2,551.97 : x
  2. Step 2: Convert to fraction form
    4,630.97/6,943.36 = 2,551.97/x
  3. Step 3: Cross multiply
    4,630.97x = 6,943.36 × 2,551.97
  4. Step 4: Simplify right side
    4,630.97x = 17,719,246.42
  5. Step 5: Solve for x
    x = 17,719,246.42/4,630.97
  6. Step 6: Final answer
    x = 3,826.25

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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.