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Finding the Fourth Proportional to 3,803.57, 5,697.60 and 3,103.27

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Solution

The fourth proportional to 3,803.57, 5,697.60 and 3,103.27 is: 4,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.57 : 5,697.60 = 3,103.27 : x
  2. Step 2: Convert to fraction form
    3,803.57/5,697.60 = 3,103.27/x
  3. Step 3: Cross multiply
    3,803.57x = 5,697.60 × 3,103.27
  4. Step 4: Simplify right side
    3,803.57x = 17,681,176.91
  5. Step 5: Solve for x
    x = 17,681,176.91/3,803.57
  6. Step 6: Final answer
    x = 4,648.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.