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Finding the Fourth Proportional to 5,233.24, 7,850.62 and 1,769.32

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Solution

The fourth proportional to 5,233.24, 7,850.62 and 1,769.32 is: 2,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.24 : 7,850.62 = 1,769.32 : x
  2. Step 2: Convert to fraction form
    5,233.24/7,850.62 = 1,769.32/x
  3. Step 3: Cross multiply
    5,233.24x = 7,850.62 × 1,769.32
  4. Step 4: Simplify right side
    5,233.24x = 13,890,258.98
  5. Step 5: Solve for x
    x = 13,890,258.98/5,233.24
  6. Step 6: Final answer
    x = 2,654.24

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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.