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Finding the Fourth Proportional to 3,472.99, 5,212.40 and 1,500.11

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Solution

The fourth proportional to 3,472.99, 5,212.40 and 1,500.11 is: 2,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.99 : 5,212.40 = 1,500.11 : x
  2. Step 2: Convert to fraction form
    3,472.99/5,212.40 = 1,500.11/x
  3. Step 3: Cross multiply
    3,472.99x = 5,212.40 × 1,500.11
  4. Step 4: Simplify right side
    3,472.99x = 7,819,139.80
  5. Step 5: Solve for x
    x = 7,819,139.80/3,472.99
  6. Step 6: Final answer
    x = 2,251.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.