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Finding the Fourth Proportional to 3,697, 5,102.04 and 2,125.96

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Solution

The fourth proportional to 3,697, 5,102.04 and 2,125.96 is: 2,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 5,102.04 = 2,125.96 : x
  2. Step 2: Convert to fraction form
    3,697/5,102.04 = 2,125.96/x
  3. Step 3: Cross multiply
    3,697x = 5,102.04 × 2,125.96
  4. Step 4: Simplify right side
    3,697x = 10,846,732.96
  5. Step 5: Solve for x
    x = 10,846,732.96/3,697
  6. Step 6: Final answer
    x = 2,933.93

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Why These Related Problems?

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