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Finding the Fourth Proportional to 4,640.75, 6,961.42 and 1,353.56

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Solution

The fourth proportional to 4,640.75, 6,961.42 and 1,353.56 is: 2,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.75 : 6,961.42 = 1,353.56 : x
  2. Step 2: Convert to fraction form
    4,640.75/6,961.42 = 1,353.56/x
  3. Step 3: Cross multiply
    4,640.75x = 6,961.42 × 1,353.56
  4. Step 4: Simplify right side
    4,640.75x = 9,422,718.75
  5. Step 5: Solve for x
    x = 9,422,718.75/4,640.75
  6. Step 6: Final answer
    x = 2,030.43

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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.