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Finding the Fourth Proportional to 3,833.72, 5,287.28 and 3,239.13

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Solution

The fourth proportional to 3,833.72, 5,287.28 and 3,239.13 is: 4,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.72 : 5,287.28 = 3,239.13 : x
  2. Step 2: Convert to fraction form
    3,833.72/5,287.28 = 3,239.13/x
  3. Step 3: Cross multiply
    3,833.72x = 5,287.28 × 3,239.13
  4. Step 4: Simplify right side
    3,833.72x = 17,126,187.27
  5. Step 5: Solve for x
    x = 17,126,187.27/3,833.72
  6. Step 6: Final answer
    x = 4,467.25

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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.