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Finding the Fourth Proportional to 4,832.92, 7,255.50 and 4,021.12

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Solution

The fourth proportional to 4,832.92, 7,255.50 and 4,021.12 is: 6,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.92 : 7,255.50 = 4,021.12 : x
  2. Step 2: Convert to fraction form
    4,832.92/7,255.50 = 4,021.12/x
  3. Step 3: Cross multiply
    4,832.92x = 7,255.50 × 4,021.12
  4. Step 4: Simplify right side
    4,832.92x = 29,175,236.16
  5. Step 5: Solve for x
    x = 29,175,236.16/4,832.92
  6. Step 6: Final answer
    x = 6,036.77

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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.