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Finding the Fourth Proportional to 3,532.94, 5,299.50 and 3,016.52

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Solution

The fourth proportional to 3,532.94, 5,299.50 and 3,016.52 is: 4,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.94 : 5,299.50 = 3,016.52 : x
  2. Step 2: Convert to fraction form
    3,532.94/5,299.50 = 3,016.52/x
  3. Step 3: Cross multiply
    3,532.94x = 5,299.50 × 3,016.52
  4. Step 4: Simplify right side
    3,532.94x = 15,986,047.74
  5. Step 5: Solve for x
    x = 15,986,047.74/3,532.94
  6. Step 6: Final answer
    x = 4,524.86

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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.