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Finding the Fourth Proportional to 3,400.98, 5,097.15 and 1,451.22

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Solution

The fourth proportional to 3,400.98, 5,097.15 and 1,451.22 is: 2,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.98 : 5,097.15 = 1,451.22 : x
  2. Step 2: Convert to fraction form
    3,400.98/5,097.15 = 1,451.22/x
  3. Step 3: Cross multiply
    3,400.98x = 5,097.15 × 1,451.22
  4. Step 4: Simplify right side
    3,400.98x = 7,397,086.02
  5. Step 5: Solve for x
    x = 7,397,086.02/3,400.98
  6. Step 6: Final answer
    x = 2,174.99

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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.