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Finding the Fourth Proportional to 4,949.39, 6,830.09 and 2,711.13

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Solution

The fourth proportional to 4,949.39, 6,830.09 and 2,711.13 is: 3,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.39 : 6,830.09 = 2,711.13 : x
  2. Step 2: Convert to fraction form
    4,949.39/6,830.09 = 2,711.13/x
  3. Step 3: Cross multiply
    4,949.39x = 6,830.09 × 2,711.13
  4. Step 4: Simplify right side
    4,949.39x = 18,517,232.90
  5. Step 5: Solve for x
    x = 18,517,232.90/4,949.39
  6. Step 6: Final answer
    x = 3,741.32

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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.