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Finding the Fourth Proportional to 3,264.98, 4,517.54 and 2,846.21

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Solution

The fourth proportional to 3,264.98, 4,517.54 and 2,846.21 is: 3,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.98 : 4,517.54 = 2,846.21 : x
  2. Step 2: Convert to fraction form
    3,264.98/4,517.54 = 2,846.21/x
  3. Step 3: Cross multiply
    3,264.98x = 4,517.54 × 2,846.21
  4. Step 4: Simplify right side
    3,264.98x = 12,857,867.52
  5. Step 5: Solve for x
    x = 12,857,867.52/3,264.98
  6. Step 6: Final answer
    x = 3,938.12

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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.