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Finding the Fourth Proportional to 5,404.50, 8,097.53 and 3,836.75

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Solution

The fourth proportional to 5,404.50, 8,097.53 and 3,836.75 is: 5,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.50 : 8,097.53 = 3,836.75 : x
  2. Step 2: Convert to fraction form
    5,404.50/8,097.53 = 3,836.75/x
  3. Step 3: Cross multiply
    5,404.50x = 8,097.53 × 3,836.75
  4. Step 4: Simplify right side
    5,404.50x = 31,068,138.56
  5. Step 5: Solve for x
    x = 31,068,138.56/5,404.50
  6. Step 6: Final answer
    x = 5,748.57

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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.