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Finding the Fourth Proportional to 3,758.62, 5,636.37 and 1,418.22

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Solution

The fourth proportional to 3,758.62, 5,636.37 and 1,418.22 is: 2,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.62 : 5,636.37 = 1,418.22 : x
  2. Step 2: Convert to fraction form
    3,758.62/5,636.37 = 1,418.22/x
  3. Step 3: Cross multiply
    3,758.62x = 5,636.37 × 1,418.22
  4. Step 4: Simplify right side
    3,758.62x = 7,993,619.66
  5. Step 5: Solve for x
    x = 7,993,619.66/3,758.62
  6. Step 6: Final answer
    x = 2,126.74

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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.