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Finding the Fourth Proportional to 4,932.70, 6,806.84 and 2,943.24

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Solution

The fourth proportional to 4,932.70, 6,806.84 and 2,943.24 is: 4,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.70 : 6,806.84 = 2,943.24 : x
  2. Step 2: Convert to fraction form
    4,932.70/6,806.84 = 2,943.24/x
  3. Step 3: Cross multiply
    4,932.70x = 6,806.84 × 2,943.24
  4. Step 4: Simplify right side
    4,932.70x = 20,034,123.52
  5. Step 5: Solve for x
    x = 20,034,123.52/4,932.70
  6. Step 6: Final answer
    x = 4,061.49

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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.