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Finding the Fourth Proportional to 5,954.85, 8,217.11 and 3,302.20

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Solution

The fourth proportional to 5,954.85, 8,217.11 and 3,302.20 is: 4,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.85 : 8,217.11 = 3,302.20 : x
  2. Step 2: Convert to fraction form
    5,954.85/8,217.11 = 3,302.20/x
  3. Step 3: Cross multiply
    5,954.85x = 8,217.11 × 3,302.20
  4. Step 4: Simplify right side
    5,954.85x = 27,134,559.17
  5. Step 5: Solve for x
    x = 27,134,559.17/5,954.85
  6. Step 6: Final answer
    x = 4,556.72

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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.