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Finding the Fourth Proportional to 6,452.28, 9,666.21 and 3,811.89

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Solution

The fourth proportional to 6,452.28, 9,666.21 and 3,811.89 is: 5,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.28 : 9,666.21 = 3,811.89 : x
  2. Step 2: Convert to fraction form
    6,452.28/9,666.21 = 3,811.89/x
  3. Step 3: Cross multiply
    6,452.28x = 9,666.21 × 3,811.89
  4. Step 4: Simplify right side
    6,452.28x = 36,846,529.24
  5. Step 5: Solve for x
    x = 36,846,529.24/6,452.28
  6. Step 6: Final answer
    x = 5,710.62

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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.