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Finding the Fourth Proportional to 3,603.40, 5,398.14 and 2,212.70

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Solution

The fourth proportional to 3,603.40, 5,398.14 and 2,212.70 is: 3,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.40 : 5,398.14 = 2,212.70 : x
  2. Step 2: Convert to fraction form
    3,603.40/5,398.14 = 2,212.70/x
  3. Step 3: Cross multiply
    3,603.40x = 5,398.14 × 2,212.70
  4. Step 4: Simplify right side
    3,603.40x = 11,944,464.38
  5. Step 5: Solve for x
    x = 11,944,464.38/3,603.40
  6. Step 6: Final answer
    x = 3,314.78

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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.