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Finding the Fourth Proportional to 3,564.13, 4,918.49 and 1,992.55

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Solution

The fourth proportional to 3,564.13, 4,918.49 and 1,992.55 is: 2,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.13 : 4,918.49 = 1,992.55 : x
  2. Step 2: Convert to fraction form
    3,564.13/4,918.49 = 1,992.55/x
  3. Step 3: Cross multiply
    3,564.13x = 4,918.49 × 1,992.55
  4. Step 4: Simplify right side
    3,564.13x = 9,800,317.64
  5. Step 5: Solve for x
    x = 9,800,317.64/3,564.13
  6. Step 6: Final answer
    x = 2,749.71

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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.