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Finding the Fourth Proportional to 3,697.70, 5,103.22 and 3,582.98

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Solution

The fourth proportional to 3,697.70, 5,103.22 and 3,582.98 is: 4,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.70 : 5,103.22 = 3,582.98 : x
  2. Step 2: Convert to fraction form
    3,697.70/5,103.22 = 3,582.98/x
  3. Step 3: Cross multiply
    3,697.70x = 5,103.22 × 3,582.98
  4. Step 4: Simplify right side
    3,697.70x = 18,284,735.20
  5. Step 5: Solve for x
    x = 18,284,735.20/3,697.70
  6. Step 6: Final answer
    x = 4,944.89

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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.