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Finding the Fourth Proportional to 4,964.04, 6,850.56 and 2,725.98

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Solution

The fourth proportional to 4,964.04, 6,850.56 and 2,725.98 is: 3,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.04 : 6,850.56 = 2,725.98 : x
  2. Step 2: Convert to fraction form
    4,964.04/6,850.56 = 2,725.98/x
  3. Step 3: Cross multiply
    4,964.04x = 6,850.56 × 2,725.98
  4. Step 4: Simplify right side
    4,964.04x = 18,674,489.55
  5. Step 5: Solve for x
    x = 18,674,489.55/4,964.04
  6. Step 6: Final answer
    x = 3,761.95

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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.