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Finding the Fourth Proportional to 3,764.58, 5,195.30 and 2,272.47

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Solution

The fourth proportional to 3,764.58, 5,195.30 and 2,272.47 is: 3,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.58 : 5,195.30 = 2,272.47 : x
  2. Step 2: Convert to fraction form
    3,764.58/5,195.30 = 2,272.47/x
  3. Step 3: Cross multiply
    3,764.58x = 5,195.30 × 2,272.47
  4. Step 4: Simplify right side
    3,764.58x = 11,806,169.07
  5. Step 5: Solve for x
    x = 11,806,169.07/3,764.58
  6. Step 6: Final answer
    x = 3,136.12

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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.