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Finding the Fourth Proportional to 3,225.74, 4,837.56 and 1,991.30

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Solution

The fourth proportional to 3,225.74, 4,837.56 and 1,991.30 is: 2,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.74 : 4,837.56 = 1,991.30 : x
  2. Step 2: Convert to fraction form
    3,225.74/4,837.56 = 1,991.30/x
  3. Step 3: Cross multiply
    3,225.74x = 4,837.56 × 1,991.30
  4. Step 4: Simplify right side
    3,225.74x = 9,633,033.23
  5. Step 5: Solve for x
    x = 9,633,033.23/3,225.74
  6. Step 6: Final answer
    x = 2,986.30

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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.