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Finding the Fourth Proportional to 5,959.14, 8,223.60 and 3,306.93

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Solution

The fourth proportional to 5,959.14, 8,223.60 and 3,306.93 is: 4,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.14 : 8,223.60 = 3,306.93 : x
  2. Step 2: Convert to fraction form
    5,959.14/8,223.60 = 3,306.93/x
  3. Step 3: Cross multiply
    5,959.14x = 8,223.60 × 3,306.93
  4. Step 4: Simplify right side
    5,959.14x = 27,194,869.55
  5. Step 5: Solve for x
    x = 27,194,869.55/5,959.14
  6. Step 6: Final answer
    x = 4,563.56

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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.