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Finding the Fourth Proportional to 3,694.40, 5,098.88 and 2,202.40

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Solution

The fourth proportional to 3,694.40, 5,098.88 and 2,202.40 is: 3,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.40 : 5,098.88 = 2,202.40 : x
  2. Step 2: Convert to fraction form
    3,694.40/5,098.88 = 2,202.40/x
  3. Step 3: Cross multiply
    3,694.40x = 5,098.88 × 2,202.40
  4. Step 4: Simplify right side
    3,694.40x = 11,229,773.31
  5. Step 5: Solve for x
    x = 11,229,773.31/3,694.40
  6. Step 6: Final answer
    x = 3,039.67

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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.