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Finding the Fourth Proportional to 3,635.22, 5,452.80 and 3,458.13

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Solution

The fourth proportional to 3,635.22, 5,452.80 and 3,458.13 is: 5,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.22 : 5,452.80 = 3,458.13 : x
  2. Step 2: Convert to fraction form
    3,635.22/5,452.80 = 3,458.13/x
  3. Step 3: Cross multiply
    3,635.22x = 5,452.80 × 3,458.13
  4. Step 4: Simplify right side
    3,635.22x = 18,856,491.26
  5. Step 5: Solve for x
    x = 18,856,491.26/3,635.22
  6. Step 6: Final answer
    x = 5,187.17

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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.