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Finding the Fourth Proportional to 3,690.44, 5,534.28 and 1,349.68

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Solution

The fourth proportional to 3,690.44, 5,534.28 and 1,349.68 is: 2,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.44 : 5,534.28 = 1,349.68 : x
  2. Step 2: Convert to fraction form
    3,690.44/5,534.28 = 1,349.68/x
  3. Step 3: Cross multiply
    3,690.44x = 5,534.28 × 1,349.68
  4. Step 4: Simplify right side
    3,690.44x = 7,469,507.03
  5. Step 5: Solve for x
    x = 7,469,507.03/3,690.44
  6. Step 6: Final answer
    x = 2,024.02

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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.