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Finding the Fourth Proportional to 3,084.52, 4,643.29 and 2,767

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Solution

The fourth proportional to 3,084.52, 4,643.29 and 2,767 is: 4,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.52 : 4,643.29 = 2,767 : x
  2. Step 2: Convert to fraction form
    3,084.52/4,643.29 = 2,767/x
  3. Step 3: Cross multiply
    3,084.52x = 4,643.29 × 2,767
  4. Step 4: Simplify right side
    3,084.52x = 12,847,983.43
  5. Step 5: Solve for x
    x = 12,847,983.43/3,084.52
  6. Step 6: Final answer
    x = 4,165.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.