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Finding the Fourth Proportional to 3,824.70, 5,706.44 and 3,408.90

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Solution

The fourth proportional to 3,824.70, 5,706.44 and 3,408.90 is: 5,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.70 : 5,706.44 = 3,408.90 : x
  2. Step 2: Convert to fraction form
    3,824.70/5,706.44 = 3,408.90/x
  3. Step 3: Cross multiply
    3,824.70x = 5,706.44 × 3,408.90
  4. Step 4: Simplify right side
    3,824.70x = 19,452,666.27
  5. Step 5: Solve for x
    x = 19,452,666.27/3,824.70
  6. Step 6: Final answer
    x = 5,086.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.