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Finding the Fourth Proportional to 3,961.04, 5,942.10 and 1,652

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Solution

The fourth proportional to 3,961.04, 5,942.10 and 1,652 is: 2,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.04 : 5,942.10 = 1,652 : x
  2. Step 2: Convert to fraction form
    3,961.04/5,942.10 = 1,652/x
  3. Step 3: Cross multiply
    3,961.04x = 5,942.10 × 1,652
  4. Step 4: Simplify right side
    3,961.04x = 9,816,349.20
  5. Step 5: Solve for x
    x = 9,816,349.20/3,961.04
  6. Step 6: Final answer
    x = 2,478.23

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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.