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Finding the Fourth Proportional to 3,603.80, 5,397.60 and 2,194.40

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Solution

The fourth proportional to 3,603.80, 5,397.60 and 2,194.40 is: 3,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.80 : 5,397.60 = 2,194.40 : x
  2. Step 2: Convert to fraction form
    3,603.80/5,397.60 = 2,194.40/x
  3. Step 3: Cross multiply
    3,603.80x = 5,397.60 × 2,194.40
  4. Step 4: Simplify right side
    3,603.80x = 11,844,493.44
  5. Step 5: Solve for x
    x = 11,844,493.44/3,603.80
  6. Step 6: Final answer
    x = 3,286.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.