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Finding the Fourth Proportional to 3,401.90, 5,102.24 and 936.12

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Solution

The fourth proportional to 3,401.90, 5,102.24 and 936.12 is: 1,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.90 : 5,102.24 = 936.12 : x
  2. Step 2: Convert to fraction form
    3,401.90/5,102.24 = 936.12/x
  3. Step 3: Cross multiply
    3,401.90x = 5,102.24 × 936.12
  4. Step 4: Simplify right side
    3,401.90x = 4,776,308.91
  5. Step 5: Solve for x
    x = 4,776,308.91/3,401.90
  6. Step 6: Final answer
    x = 1,404.01

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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.