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Finding the Fourth Proportional to 3,537.15, 5,308.02 and 3,266.61

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Solution

The fourth proportional to 3,537.15, 5,308.02 and 3,266.61 is: 4,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.15 : 5,308.02 = 3,266.61 : x
  2. Step 2: Convert to fraction form
    3,537.15/5,308.02 = 3,266.61/x
  3. Step 3: Cross multiply
    3,537.15x = 5,308.02 × 3,266.61
  4. Step 4: Simplify right side
    3,537.15x = 17,339,231.21
  5. Step 5: Solve for x
    x = 17,339,231.21/3,537.15
  6. Step 6: Final answer
    x = 4,902.03

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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.