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Finding the Fourth Proportional to 3,933.72, 5,899.50 and 3,497.40

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Solution

The fourth proportional to 3,933.72, 5,899.50 and 3,497.40 is: 5,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.72 : 5,899.50 = 3,497.40 : x
  2. Step 2: Convert to fraction form
    3,933.72/5,899.50 = 3,497.40/x
  3. Step 3: Cross multiply
    3,933.72x = 5,899.50 × 3,497.40
  4. Step 4: Simplify right side
    3,933.72x = 20,632,911.30
  5. Step 5: Solve for x
    x = 20,632,911.30/3,933.72
  6. Step 6: Final answer
    x = 5,245.14

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Why These Related Problems?

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