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Finding the Fourth Proportional to 3,404.74, 5,108.49 and 2,308.48

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Solution

The fourth proportional to 3,404.74, 5,108.49 and 2,308.48 is: 3,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.74 : 5,108.49 = 2,308.48 : x
  2. Step 2: Convert to fraction form
    3,404.74/5,108.49 = 2,308.48/x
  3. Step 3: Cross multiply
    3,404.74x = 5,108.49 × 2,308.48
  4. Step 4: Simplify right side
    3,404.74x = 11,792,847.00
  5. Step 5: Solve for x
    x = 11,792,847.00/3,404.74
  6. Step 6: Final answer
    x = 3,463.66

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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.