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Finding the Fourth Proportional to 3,690.85, 5,534.24 and 1,467.43

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Solution

The fourth proportional to 3,690.85, 5,534.24 and 1,467.43 is: 2,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.85 : 5,534.24 = 1,467.43 : x
  2. Step 2: Convert to fraction form
    3,690.85/5,534.24 = 1,467.43/x
  3. Step 3: Cross multiply
    3,690.85x = 5,534.24 × 1,467.43
  4. Step 4: Simplify right side
    3,690.85x = 8,121,102.47
  5. Step 5: Solve for x
    x = 8,121,102.47/3,690.85
  6. Step 6: Final answer
    x = 2,200.33

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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.