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Finding the Fourth Proportional to 4,661.64, 6,989.22 and 2,194.38

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Solution

The fourth proportional to 4,661.64, 6,989.22 and 2,194.38 is: 3,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.64 : 6,989.22 = 2,194.38 : x
  2. Step 2: Convert to fraction form
    4,661.64/6,989.22 = 2,194.38/x
  3. Step 3: Cross multiply
    4,661.64x = 6,989.22 × 2,194.38
  4. Step 4: Simplify right side
    4,661.64x = 15,337,004.58
  5. Step 5: Solve for x
    x = 15,337,004.58/4,661.64
  6. Step 6: Final answer
    x = 3,290.04

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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.