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Finding the Fourth Proportional to 3,958.74, 5,946.75 and 3,343.68

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Solution

The fourth proportional to 3,958.74, 5,946.75 and 3,343.68 is: 5,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.74 : 5,946.75 = 3,343.68 : x
  2. Step 2: Convert to fraction form
    3,958.74/5,946.75 = 3,343.68/x
  3. Step 3: Cross multiply
    3,958.74x = 5,946.75 × 3,343.68
  4. Step 4: Simplify right side
    3,958.74x = 19,884,029.04
  5. Step 5: Solve for x
    x = 19,884,029.04/3,958.74
  6. Step 6: Final answer
    x = 5,022.82

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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.