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Finding the Fourth Proportional to 3,561.54, 4,914.97 and 2,164.42

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Solution

The fourth proportional to 3,561.54, 4,914.97 and 2,164.42 is: 2,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.54 : 4,914.97 = 2,164.42 : x
  2. Step 2: Convert to fraction form
    3,561.54/4,914.97 = 2,164.42/x
  3. Step 3: Cross multiply
    3,561.54x = 4,914.97 × 2,164.42
  4. Step 4: Simplify right side
    3,561.54x = 10,638,059.37
  5. Step 5: Solve for x
    x = 10,638,059.37/3,561.54
  6. Step 6: Final answer
    x = 2,986.93

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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.