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Finding the Fourth Proportional to 4,963.49, 6,849.70 and 2,725.46

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Solution

The fourth proportional to 4,963.49, 6,849.70 and 2,725.46 is: 3,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.49 : 6,849.70 = 2,725.46 : x
  2. Step 2: Convert to fraction form
    4,963.49/6,849.70 = 2,725.46/x
  3. Step 3: Cross multiply
    4,963.49x = 6,849.70 × 2,725.46
  4. Step 4: Simplify right side
    4,963.49x = 18,668,583.36
  5. Step 5: Solve for x
    x = 18,668,583.36/4,963.49
  6. Step 6: Final answer
    x = 3,761.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.