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Finding the Fourth Proportional to 3,238.92, 4,837.14 and 3,204.90

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Solution

The fourth proportional to 3,238.92, 4,837.14 and 3,204.90 is: 4,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.92 : 4,837.14 = 3,204.90 : x
  2. Step 2: Convert to fraction form
    3,238.92/4,837.14 = 3,204.90/x
  3. Step 3: Cross multiply
    3,238.92x = 4,837.14 × 3,204.90
  4. Step 4: Simplify right side
    3,238.92x = 15,502,549.99
  5. Step 5: Solve for x
    x = 15,502,549.99/3,238.92
  6. Step 6: Final answer
    x = 4,786.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.