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Finding the Fourth Proportional to 3,404.68, 5,096.48 and 2,906.53

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Solution

The fourth proportional to 3,404.68, 5,096.48 and 2,906.53 is: 4,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.68 : 5,096.48 = 2,906.53 : x
  2. Step 2: Convert to fraction form
    3,404.68/5,096.48 = 2,906.53/x
  3. Step 3: Cross multiply
    3,404.68x = 5,096.48 × 2,906.53
  4. Step 4: Simplify right side
    3,404.68x = 14,813,044.74
  5. Step 5: Solve for x
    x = 14,813,044.74/3,404.68
  6. Step 6: Final answer
    x = 4,350.79

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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.