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Finding the Fourth Proportional to 3,580.80, 4,940.82 and 2,164.20

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Solution

The fourth proportional to 3,580.80, 4,940.82 and 2,164.20 is: 2,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.80 : 4,940.82 = 2,164.20 : x
  2. Step 2: Convert to fraction form
    3,580.80/4,940.82 = 2,164.20/x
  3. Step 3: Cross multiply
    3,580.80x = 4,940.82 × 2,164.20
  4. Step 4: Simplify right side
    3,580.80x = 10,692,922.64
  5. Step 5: Solve for x
    x = 10,692,922.64/3,580.80
  6. Step 6: Final answer
    x = 2,986.18

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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.