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Finding the Fourth Proportional to 3,404.37, 5,103 and 2,308.80

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Solution

The fourth proportional to 3,404.37, 5,103 and 2,308.80 is: 3,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.37 : 5,103 = 2,308.80 : x
  2. Step 2: Convert to fraction form
    3,404.37/5,103 = 2,308.80/x
  3. Step 3: Cross multiply
    3,404.37x = 5,103 × 2,308.80
  4. Step 4: Simplify right side
    3,404.37x = 11,781,806.40
  5. Step 5: Solve for x
    x = 11,781,806.40/3,404.37
  6. Step 6: Final answer
    x = 3,460.79

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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.