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Finding the Fourth Proportional to 3,293.92, 4,936.56 and 2,424.16

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Solution

The fourth proportional to 3,293.92, 4,936.56 and 2,424.16 is: 3,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.92 : 4,936.56 = 2,424.16 : x
  2. Step 2: Convert to fraction form
    3,293.92/4,936.56 = 2,424.16/x
  3. Step 3: Cross multiply
    3,293.92x = 4,936.56 × 2,424.16
  4. Step 4: Simplify right side
    3,293.92x = 11,967,011.29
  5. Step 5: Solve for x
    x = 11,967,011.29/3,293.92
  6. Step 6: Final answer
    x = 3,633.06

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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.