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Finding the Fourth Proportional to 3,402.72, 5,103.50 and 936.99

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Solution

The fourth proportional to 3,402.72, 5,103.50 and 936.99 is: 1,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.72 : 5,103.50 = 936.99 : x
  2. Step 2: Convert to fraction form
    3,402.72/5,103.50 = 936.99/x
  3. Step 3: Cross multiply
    3,402.72x = 5,103.50 × 936.99
  4. Step 4: Simplify right side
    3,402.72x = 4,781,923.78
  5. Step 5: Solve for x
    x = 4,781,923.78/3,402.72
  6. Step 6: Final answer
    x = 1,405.32

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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.