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Finding the Fourth Proportional to 3,635.40, 5,450.40 and 1,168.80

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Solution

The fourth proportional to 3,635.40, 5,450.40 and 1,168.80 is: 1,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.40 : 5,450.40 = 1,168.80 : x
  2. Step 2: Convert to fraction form
    3,635.40/5,450.40 = 1,168.80/x
  3. Step 3: Cross multiply
    3,635.40x = 5,450.40 × 1,168.80
  4. Step 4: Simplify right side
    3,635.40x = 6,370,427.52
  5. Step 5: Solve for x
    x = 6,370,427.52/3,635.40
  6. Step 6: Final answer
    x = 1,752.33

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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.