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Finding the Fourth Proportional to 5,222.70, 7,832.52 and 1,523.94

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Solution

The fourth proportional to 5,222.70, 7,832.52 and 1,523.94 is: 2,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.70 : 7,832.52 = 1,523.94 : x
  2. Step 2: Convert to fraction form
    5,222.70/7,832.52 = 1,523.94/x
  3. Step 3: Cross multiply
    5,222.70x = 7,832.52 × 1,523.94
  4. Step 4: Simplify right side
    5,222.70x = 11,936,290.53
  5. Step 5: Solve for x
    x = 11,936,290.53/5,222.70
  6. Step 6: Final answer
    x = 2,285.46

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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.