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Finding the Fourth Proportional to 3,453.65, 5,174.61 and 2,134.11

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Solution

The fourth proportional to 3,453.65, 5,174.61 and 2,134.11 is: 3,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.65 : 5,174.61 = 2,134.11 : x
  2. Step 2: Convert to fraction form
    3,453.65/5,174.61 = 2,134.11/x
  3. Step 3: Cross multiply
    3,453.65x = 5,174.61 × 2,134.11
  4. Step 4: Simplify right side
    3,453.65x = 11,043,186.95
  5. Step 5: Solve for x
    x = 11,043,186.95/3,453.65
  6. Step 6: Final answer
    x = 3,197.55

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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.