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Finding the Fourth Proportional to 4,969.54, 6,857.98 and 2,731.46

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Solution

The fourth proportional to 4,969.54, 6,857.98 and 2,731.46 is: 3,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.54 : 6,857.98 = 2,731.46 : x
  2. Step 2: Convert to fraction form
    4,969.54/6,857.98 = 2,731.46/x
  3. Step 3: Cross multiply
    4,969.54x = 6,857.98 × 2,731.46
  4. Step 4: Simplify right side
    4,969.54x = 18,732,298.05
  5. Step 5: Solve for x
    x = 18,732,298.05/4,969.54
  6. Step 6: Final answer
    x = 3,769.42

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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.