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Finding the Fourth Proportional to 5,945.48, 8,912.14 and 3,869.66

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Solution

The fourth proportional to 5,945.48, 8,912.14 and 3,869.66 is: 5,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.48 : 8,912.14 = 3,869.66 : x
  2. Step 2: Convert to fraction form
    5,945.48/8,912.14 = 3,869.66/x
  3. Step 3: Cross multiply
    5,945.48x = 8,912.14 × 3,869.66
  4. Step 4: Simplify right side
    5,945.48x = 34,486,897.44
  5. Step 5: Solve for x
    x = 34,486,897.44/5,945.48
  6. Step 6: Final answer
    x = 5,800.52

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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.