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Finding the Fourth Proportional to 3,697.96, 5,104.02 and 2,519.50

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Solution

The fourth proportional to 3,697.96, 5,104.02 and 2,519.50 is: 3,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.96 : 5,104.02 = 2,519.50 : x
  2. Step 2: Convert to fraction form
    3,697.96/5,104.02 = 2,519.50/x
  3. Step 3: Cross multiply
    3,697.96x = 5,104.02 × 2,519.50
  4. Step 4: Simplify right side
    3,697.96x = 12,859,578.39
  5. Step 5: Solve for x
    x = 12,859,578.39/3,697.96
  6. Step 6: Final answer
    x = 3,477.48

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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.