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Finding the Fourth Proportional to 4,932.50, 6,806.99 and 2,694.48

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Solution

The fourth proportional to 4,932.50, 6,806.99 and 2,694.48 is: 3,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.50 : 6,806.99 = 2,694.48 : x
  2. Step 2: Convert to fraction form
    4,932.50/6,806.99 = 2,694.48/x
  3. Step 3: Cross multiply
    4,932.50x = 6,806.99 × 2,694.48
  4. Step 4: Simplify right side
    4,932.50x = 18,341,264.38
  5. Step 5: Solve for x
    x = 18,341,264.38/4,932.50
  6. Step 6: Final answer
    x = 3,718.46

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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.