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Finding the Fourth Proportional to 5,954.34, 8,217.18 and 3,302.00

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Solution

The fourth proportional to 5,954.34, 8,217.18 and 3,302.00 is: 4,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.34 : 8,217.18 = 3,302.00 : x
  2. Step 2: Convert to fraction form
    5,954.34/8,217.18 = 3,302.00/x
  3. Step 3: Cross multiply
    5,954.34x = 8,217.18 × 3,302.00
  4. Step 4: Simplify right side
    5,954.34x = 27,133,087.27
  5. Step 5: Solve for x
    x = 27,133,087.27/5,954.34
  6. Step 6: Final answer
    x = 4,556.86

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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.