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Finding the Fourth Proportional to 4,496.92, 6,201.57 and 2,981.82

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Solution

The fourth proportional to 4,496.92, 6,201.57 and 2,981.82 is: 4,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.92 : 6,201.57 = 2,981.82 : x
  2. Step 2: Convert to fraction form
    4,496.92/6,201.57 = 2,981.82/x
  3. Step 3: Cross multiply
    4,496.92x = 6,201.57 × 2,981.82
  4. Step 4: Simplify right side
    4,496.92x = 18,491,965.46
  5. Step 5: Solve for x
    x = 18,491,965.46/4,496.92
  6. Step 6: Final answer
    x = 4,112.14

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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.