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Finding the Fourth Proportional to 3,850.96, 5,761.80 and 2,545.36

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Solution

The fourth proportional to 3,850.96, 5,761.80 and 2,545.36 is: 3,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.96 : 5,761.80 = 2,545.36 : x
  2. Step 2: Convert to fraction form
    3,850.96/5,761.80 = 2,545.36/x
  3. Step 3: Cross multiply
    3,850.96x = 5,761.80 × 2,545.36
  4. Step 4: Simplify right side
    3,850.96x = 14,665,855.25
  5. Step 5: Solve for x
    x = 14,665,855.25/3,850.96
  6. Step 6: Final answer
    x = 3,808.36

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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.