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Finding the Fourth Proportional to 5,963.40, 8,942.22 and 3,499.02

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Solution

The fourth proportional to 5,963.40, 8,942.22 and 3,499.02 is: 5,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.40 : 8,942.22 = 3,499.02 : x
  2. Step 2: Convert to fraction form
    5,963.40/8,942.22 = 3,499.02/x
  3. Step 3: Cross multiply
    5,963.40x = 8,942.22 × 3,499.02
  4. Step 4: Simplify right side
    5,963.40x = 31,289,006.62
  5. Step 5: Solve for x
    x = 31,289,006.62/5,963.40
  6. Step 6: Final answer
    x = 5,246.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.