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Finding the Fourth Proportional to 3,534.62, 5,301.36 and 1,949.42

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Solution

The fourth proportional to 3,534.62, 5,301.36 and 1,949.42 is: 2,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.62 : 5,301.36 = 1,949.42 : x
  2. Step 2: Convert to fraction form
    3,534.62/5,301.36 = 1,949.42/x
  3. Step 3: Cross multiply
    3,534.62x = 5,301.36 × 1,949.42
  4. Step 4: Simplify right side
    3,534.62x = 10,334,577.21
  5. Step 5: Solve for x
    x = 10,334,577.21/3,534.62
  6. Step 6: Final answer
    x = 2,923.82

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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.