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Finding the Fourth Proportional to 5,793.84, 7,996.72 and 3,697.60

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Solution

The fourth proportional to 5,793.84, 7,996.72 and 3,697.60 is: 5,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.84 : 7,996.72 = 3,697.60 : x
  2. Step 2: Convert to fraction form
    5,793.84/7,996.72 = 3,697.60/x
  3. Step 3: Cross multiply
    5,793.84x = 7,996.72 × 3,697.60
  4. Step 4: Simplify right side
    5,793.84x = 29,568,671.87
  5. Step 5: Solve for x
    x = 29,568,671.87/5,793.84
  6. Step 6: Final answer
    x = 5,103.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.