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Finding the Fourth Proportional to 5,233.86, 7,850.71 and 1,773.54

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Solution

The fourth proportional to 5,233.86, 7,850.71 and 1,773.54 is: 2,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.86 : 7,850.71 = 1,773.54 : x
  2. Step 2: Convert to fraction form
    5,233.86/7,850.71 = 1,773.54/x
  3. Step 3: Cross multiply
    5,233.86x = 7,850.71 × 1,773.54
  4. Step 4: Simplify right side
    5,233.86x = 13,923,548.21
  5. Step 5: Solve for x
    x = 13,923,548.21/5,233.86
  6. Step 6: Final answer
    x = 2,660.28

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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.