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Finding the Fourth Proportional to 3,586.92, 5,379.84 and 1,121.64

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Solution

The fourth proportional to 3,586.92, 5,379.84 and 1,121.64 is: 1,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.92 : 5,379.84 = 1,121.64 : x
  2. Step 2: Convert to fraction form
    3,586.92/5,379.84 = 1,121.64/x
  3. Step 3: Cross multiply
    3,586.92x = 5,379.84 × 1,121.64
  4. Step 4: Simplify right side
    3,586.92x = 6,034,243.74
  5. Step 5: Solve for x
    x = 6,034,243.74/3,586.92
  6. Step 6: Final answer
    x = 1,682.29

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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.