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Finding the Fourth Proportional to 5,219.30, 7,202.65 and 2,829.27

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Solution

The fourth proportional to 5,219.30, 7,202.65 and 2,829.27 is: 3,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.30 : 7,202.65 = 2,829.27 : x
  2. Step 2: Convert to fraction form
    5,219.30/7,202.65 = 2,829.27/x
  3. Step 3: Cross multiply
    5,219.30x = 7,202.65 × 2,829.27
  4. Step 4: Simplify right side
    5,219.30x = 20,378,241.57
  5. Step 5: Solve for x
    x = 20,378,241.57/5,219.30
  6. Step 6: Final answer
    x = 3,904.41

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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.