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Finding the Fourth Proportional to 3,794.72, 5,232.74 and 3,493.40

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Solution

The fourth proportional to 3,794.72, 5,232.74 and 3,493.40 is: 4,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.72 : 5,232.74 = 3,493.40 : x
  2. Step 2: Convert to fraction form
    3,794.72/5,232.74 = 3,493.40/x
  3. Step 3: Cross multiply
    3,794.72x = 5,232.74 × 3,493.40
  4. Step 4: Simplify right side
    3,794.72x = 18,280,010.29
  5. Step 5: Solve for x
    x = 18,280,010.29/3,794.72
  6. Step 6: Final answer
    x = 4,817.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.