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Finding the Fourth Proportional to 5,306, 7,321.72 and 3,067.68

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Solution

The fourth proportional to 5,306, 7,321.72 and 3,067.68 is: 4,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 7,321.72 = 3,067.68 : x
  2. Step 2: Convert to fraction form
    5,306/7,321.72 = 3,067.68/x
  3. Step 3: Cross multiply
    5,306x = 7,321.72 × 3,067.68
  4. Step 4: Simplify right side
    5,306x = 22,460,694.01
  5. Step 5: Solve for x
    x = 22,460,694.01/5,306
  6. Step 6: Final answer
    x = 4,233.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.