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Finding the Fourth Proportional to 3,952.14, 5,926.23 and 2,309.28

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Solution

The fourth proportional to 3,952.14, 5,926.23 and 2,309.28 is: 3,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.14 : 5,926.23 = 2,309.28 : x
  2. Step 2: Convert to fraction form
    3,952.14/5,926.23 = 2,309.28/x
  3. Step 3: Cross multiply
    3,952.14x = 5,926.23 × 2,309.28
  4. Step 4: Simplify right side
    3,952.14x = 13,685,324.41
  5. Step 5: Solve for x
    x = 13,685,324.41/3,952.14
  6. Step 6: Final answer
    x = 3,462.76

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1.5x scale

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.