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Finding the Fourth Proportional to 3,697.35, 5,102.12 and 2,125.44

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Solution

The fourth proportional to 3,697.35, 5,102.12 and 2,125.44 is: 2,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.35 : 5,102.12 = 2,125.44 : x
  2. Step 2: Convert to fraction form
    3,697.35/5,102.12 = 2,125.44/x
  3. Step 3: Cross multiply
    3,697.35x = 5,102.12 × 2,125.44
  4. Step 4: Simplify right side
    3,697.35x = 10,844,249.93
  5. Step 5: Solve for x
    x = 10,844,249.93/3,697.35
  6. Step 6: Final answer
    x = 2,932.98

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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.