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Finding the Fourth Proportional to 3,462.59, 5,192.71 and 1,121.96

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Solution

The fourth proportional to 3,462.59, 5,192.71 and 1,121.96 is: 1,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.59 : 5,192.71 = 1,121.96 : x
  2. Step 2: Convert to fraction form
    3,462.59/5,192.71 = 1,121.96/x
  3. Step 3: Cross multiply
    3,462.59x = 5,192.71 × 1,121.96
  4. Step 4: Simplify right side
    3,462.59x = 5,826,012.91
  5. Step 5: Solve for x
    x = 5,826,012.91/3,462.59
  6. Step 6: Final answer
    x = 1,682.56

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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.