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Finding the Fourth Proportional to 3,908.46, 5,866.74 and 2,268.22

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Solution

The fourth proportional to 3,908.46, 5,866.74 and 2,268.22 is: 3,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.46 : 5,866.74 = 2,268.22 : x
  2. Step 2: Convert to fraction form
    3,908.46/5,866.74 = 2,268.22/x
  3. Step 3: Cross multiply
    3,908.46x = 5,866.74 × 2,268.22
  4. Step 4: Simplify right side
    3,908.46x = 13,307,057.00
  5. Step 5: Solve for x
    x = 13,307,057.00/3,908.46
  6. Step 6: Final answer
    x = 3,404.68

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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.