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Finding the Fourth Proportional to 5,720.21, 7,894.37 and 3,202.28

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Solution

The fourth proportional to 5,720.21, 7,894.37 and 3,202.28 is: 4,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.21 : 7,894.37 = 3,202.28 : x
  2. Step 2: Convert to fraction form
    5,720.21/7,894.37 = 3,202.28/x
  3. Step 3: Cross multiply
    5,720.21x = 7,894.37 × 3,202.28
  4. Step 4: Simplify right side
    5,720.21x = 25,279,951.70
  5. Step 5: Solve for x
    x = 25,279,951.70/5,720.21
  6. Step 6: Final answer
    x = 4,419.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.