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Finding the Fourth Proportional to 3,694.00, 5,098.11 and 2,277.38

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Solution

The fourth proportional to 3,694.00, 5,098.11 and 2,277.38 is: 3,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.00 : 5,098.11 = 2,277.38 : x
  2. Step 2: Convert to fraction form
    3,694.00/5,098.11 = 2,277.38/x
  3. Step 3: Cross multiply
    3,694.00x = 5,098.11 × 2,277.38
  4. Step 4: Simplify right side
    3,694.00x = 11,610,357.17
  5. Step 5: Solve for x
    x = 11,610,357.17/3,694.00
  6. Step 6: Final answer
    x = 3,143.03

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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.