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Finding the Fourth Proportional to 3,566.92, 4,922.99 and 2,150.86

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Solution

The fourth proportional to 3,566.92, 4,922.99 and 2,150.86 is: 2,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.92 : 4,922.99 = 2,150.86 : x
  2. Step 2: Convert to fraction form
    3,566.92/4,922.99 = 2,150.86/x
  3. Step 3: Cross multiply
    3,566.92x = 4,922.99 × 2,150.86
  4. Step 4: Simplify right side
    3,566.92x = 10,588,662.27
  5. Step 5: Solve for x
    x = 10,588,662.27/3,566.92
  6. Step 6: Final answer
    x = 2,968.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.