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Finding the Fourth Proportional to 5,961.40, 8,942.10 and 3,497.40

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Solution

The fourth proportional to 5,961.40, 8,942.10 and 3,497.40 is: 5,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.40 : 8,942.10 = 3,497.40 : x
  2. Step 2: Convert to fraction form
    5,961.40/8,942.10 = 3,497.40/x
  3. Step 3: Cross multiply
    5,961.40x = 8,942.10 × 3,497.40
  4. Step 4: Simplify right side
    5,961.40x = 31,274,100.54
  5. Step 5: Solve for x
    x = 31,274,100.54/5,961.40
  6. Step 6: Final answer
    x = 5,246.10

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Why These Related Problems?

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