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Finding the Fourth Proportional to 4,232.94, 6,348.06 and 2,011.50

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Solution

The fourth proportional to 4,232.94, 6,348.06 and 2,011.50 is: 3,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.94 : 6,348.06 = 2,011.50 : x
  2. Step 2: Convert to fraction form
    4,232.94/6,348.06 = 2,011.50/x
  3. Step 3: Cross multiply
    4,232.94x = 6,348.06 × 2,011.50
  4. Step 4: Simplify right side
    4,232.94x = 12,769,122.69
  5. Step 5: Solve for x
    x = 12,769,122.69/4,232.94
  6. Step 6: Final answer
    x = 3,016.61

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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.