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Finding the Fourth Proportional to 3,949.16, 5,446.86 and 2,815.16

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Solution

The fourth proportional to 3,949.16, 5,446.86 and 2,815.16 is: 3,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.16 : 5,446.86 = 2,815.16 : x
  2. Step 2: Convert to fraction form
    3,949.16/5,446.86 = 2,815.16/x
  3. Step 3: Cross multiply
    3,949.16x = 5,446.86 × 2,815.16
  4. Step 4: Simplify right side
    3,949.16x = 15,333,782.40
  5. Step 5: Solve for x
    x = 15,333,782.40/3,949.16
  6. Step 6: Final answer
    x = 3,882.80

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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.