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Finding the Fourth Proportional to 4,949.91, 6,829.18 and 2,823.91

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Solution

The fourth proportional to 4,949.91, 6,829.18 and 2,823.91 is: 3,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.91 : 6,829.18 = 2,823.91 : x
  2. Step 2: Convert to fraction form
    4,949.91/6,829.18 = 2,823.91/x
  3. Step 3: Cross multiply
    4,949.91x = 6,829.18 × 2,823.91
  4. Step 4: Simplify right side
    4,949.91x = 19,284,965.56
  5. Step 5: Solve for x
    x = 19,284,965.56/4,949.91
  6. Step 6: Final answer
    x = 3,896.02

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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.