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Finding the Fourth Proportional to 3,401.96, 5,102.34 and 936.18

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Solution

The fourth proportional to 3,401.96, 5,102.34 and 936.18 is: 1,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.96 : 5,102.34 = 936.18 : x
  2. Step 2: Convert to fraction form
    3,401.96/5,102.34 = 936.18/x
  3. Step 3: Cross multiply
    3,401.96x = 5,102.34 × 936.18
  4. Step 4: Simplify right side
    3,401.96x = 4,776,708.66
  5. Step 5: Solve for x
    x = 4,776,708.66/3,401.96
  6. Step 6: Final answer
    x = 1,404.10

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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.