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Finding the Fourth Proportional to 3,574.24, 5,361.44 and 2,032

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Solution

The fourth proportional to 3,574.24, 5,361.44 and 2,032 is: 3,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.24 : 5,361.44 = 2,032 : x
  2. Step 2: Convert to fraction form
    3,574.24/5,361.44 = 2,032/x
  3. Step 3: Cross multiply
    3,574.24x = 5,361.44 × 2,032
  4. Step 4: Simplify right side
    3,574.24x = 10,894,446.08
  5. Step 5: Solve for x
    x = 10,894,446.08/3,574.24
  6. Step 6: Final answer
    x = 3,048.05

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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.