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Finding the Fourth Proportional to 3,402.47, 5,103.09 and 936.69

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Solution

The fourth proportional to 3,402.47, 5,103.09 and 936.69 is: 1,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.47 : 5,103.09 = 936.69 : x
  2. Step 2: Convert to fraction form
    3,402.47/5,103.09 = 936.69/x
  3. Step 3: Cross multiply
    3,402.47x = 5,103.09 × 936.69
  4. Step 4: Simplify right side
    3,402.47x = 4,780,013.37
  5. Step 5: Solve for x
    x = 4,780,013.37/3,402.47
  6. Step 6: Final answer
    x = 1,404.87

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