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Finding the Fourth Proportional to 5,223.78, 7,832.60 and 3,469.74

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Solution

The fourth proportional to 5,223.78, 7,832.60 and 3,469.74 is: 5,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.78 : 7,832.60 = 3,469.74 : x
  2. Step 2: Convert to fraction form
    5,223.78/7,832.60 = 3,469.74/x
  3. Step 3: Cross multiply
    5,223.78x = 7,832.60 × 3,469.74
  4. Step 4: Simplify right side
    5,223.78x = 27,177,068.18
  5. Step 5: Solve for x
    x = 27,177,068.18/5,223.78
  6. Step 6: Final answer
    x = 5,202.57

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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.