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Finding the Fourth Proportional to 3,682.11, 5,522.34 and 1,049.57

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Solution

The fourth proportional to 3,682.11, 5,522.34 and 1,049.57 is: 1,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.11 : 5,522.34 = 1,049.57 : x
  2. Step 2: Convert to fraction form
    3,682.11/5,522.34 = 1,049.57/x
  3. Step 3: Cross multiply
    3,682.11x = 5,522.34 × 1,049.57
  4. Step 4: Simplify right side
    3,682.11x = 5,796,054.78
  5. Step 5: Solve for x
    x = 5,796,054.78/3,682.11
  6. Step 6: Final answer
    x = 1,574.11

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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.