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Finding the Fourth Proportional to 3,735.60, 5,603.40 and 3,273.90

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Solution

The fourth proportional to 3,735.60, 5,603.40 and 3,273.90 is: 4,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.60 : 5,603.40 = 3,273.90 : x
  2. Step 2: Convert to fraction form
    3,735.60/5,603.40 = 3,273.90/x
  3. Step 3: Cross multiply
    3,735.60x = 5,603.40 × 3,273.90
  4. Step 4: Simplify right side
    3,735.60x = 18,344,971.26
  5. Step 5: Solve for x
    x = 18,344,971.26/3,735.60
  6. Step 6: Final answer
    x = 4,910.85

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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.