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Finding the Fourth Proportional to 3,837.36, 5,290.20 and 3,245.52

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Solution

The fourth proportional to 3,837.36, 5,290.20 and 3,245.52 is: 4,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.36 : 5,290.20 = 3,245.52 : x
  2. Step 2: Convert to fraction form
    3,837.36/5,290.20 = 3,245.52/x
  3. Step 3: Cross multiply
    3,837.36x = 5,290.20 × 3,245.52
  4. Step 4: Simplify right side
    3,837.36x = 17,169,449.90
  5. Step 5: Solve for x
    x = 17,169,449.90/3,837.36
  6. Step 6: Final answer
    x = 4,474.29

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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.