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Finding the Fourth Proportional to 3,396.26, 5,093.94 and 1,545.38

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Solution

The fourth proportional to 3,396.26, 5,093.94 and 1,545.38 is: 2,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.26 : 5,093.94 = 1,545.38 : x
  2. Step 2: Convert to fraction form
    3,396.26/5,093.94 = 1,545.38/x
  3. Step 3: Cross multiply
    3,396.26x = 5,093.94 × 1,545.38
  4. Step 4: Simplify right side
    3,396.26x = 7,872,073.00
  5. Step 5: Solve for x
    x = 7,872,073.00/3,396.26
  6. Step 6: Final answer
    x = 2,317.87

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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.