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Finding the Fourth Proportional to 5,898.22, 8,143.34 and 3,663.33

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Solution

The fourth proportional to 5,898.22, 8,143.34 and 3,663.33 is: 5,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.22 : 8,143.34 = 3,663.33 : x
  2. Step 2: Convert to fraction form
    5,898.22/8,143.34 = 3,663.33/x
  3. Step 3: Cross multiply
    5,898.22x = 8,143.34 × 3,663.33
  4. Step 4: Simplify right side
    5,898.22x = 29,831,692.87
  5. Step 5: Solve for x
    x = 29,831,692.87/5,898.22
  6. Step 6: Final answer
    x = 5,057.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.