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Finding the Fourth Proportional to 3,866.30, 5,808.09 and 3,720.50

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Solution

The fourth proportional to 3,866.30, 5,808.09 and 3,720.50 is: 5,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.30 : 5,808.09 = 3,720.50 : x
  2. Step 2: Convert to fraction form
    3,866.30/5,808.09 = 3,720.50/x
  3. Step 3: Cross multiply
    3,866.30x = 5,808.09 × 3,720.50
  4. Step 4: Simplify right side
    3,866.30x = 21,608,998.85
  5. Step 5: Solve for x
    x = 21,608,998.85/3,866.30
  6. Step 6: Final answer
    x = 5,589.06

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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.