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Finding the Fourth Proportional to 3,474.28, 5,212.03 and 1,499.91

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Solution

The fourth proportional to 3,474.28, 5,212.03 and 1,499.91 is: 2,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.28 : 5,212.03 = 1,499.91 : x
  2. Step 2: Convert to fraction form
    3,474.28/5,212.03 = 1,499.91/x
  3. Step 3: Cross multiply
    3,474.28x = 5,212.03 × 1,499.91
  4. Step 4: Simplify right side
    3,474.28x = 7,817,575.92
  5. Step 5: Solve for x
    x = 7,817,575.92/3,474.28
  6. Step 6: Final answer
    x = 2,250.13

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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.