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Finding the Fourth Proportional to 5,954.98, 8,217.92 and 3,302.42

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Solution

The fourth proportional to 5,954.98, 8,217.92 and 3,302.42 is: 4,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.98 : 8,217.92 = 3,302.42 : x
  2. Step 2: Convert to fraction form
    5,954.98/8,217.92 = 3,302.42/x
  3. Step 3: Cross multiply
    5,954.98x = 8,217.92 × 3,302.42
  4. Step 4: Simplify right side
    5,954.98x = 27,139,006.85
  5. Step 5: Solve for x
    x = 27,139,006.85/5,954.98
  6. Step 6: Final answer
    x = 4,557.37

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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.