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Finding the Fourth Proportional to 3,694.04, 5,098.74 and 2,278.87

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Solution

The fourth proportional to 3,694.04, 5,098.74 and 2,278.87 is: 3,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.04 : 5,098.74 = 2,278.87 : x
  2. Step 2: Convert to fraction form
    3,694.04/5,098.74 = 2,278.87/x
  3. Step 3: Cross multiply
    3,694.04x = 5,098.74 × 2,278.87
  4. Step 4: Simplify right side
    3,694.04x = 11,619,365.62
  5. Step 5: Solve for x
    x = 11,619,365.62/3,694.04
  6. Step 6: Final answer
    x = 3,145.44

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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.