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Finding the Fourth Proportional to 5,232.72, 7,850.20 and 1,772.24

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Solution

The fourth proportional to 5,232.72, 7,850.20 and 1,772.24 is: 2,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.72 : 7,850.20 = 1,772.24 : x
  2. Step 2: Convert to fraction form
    5,232.72/7,850.20 = 1,772.24/x
  3. Step 3: Cross multiply
    5,232.72x = 7,850.20 × 1,772.24
  4. Step 4: Simplify right side
    5,232.72x = 13,912,438.45
  5. Step 5: Solve for x
    x = 13,912,438.45/5,232.72
  6. Step 6: Final answer
    x = 2,658.74

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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.