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Finding the Fourth Proportional to 3,564.57, 4,919.27 and 1,992.67

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Solution

The fourth proportional to 3,564.57, 4,919.27 and 1,992.67 is: 2,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.57 : 4,919.27 = 1,992.67 : x
  2. Step 2: Convert to fraction form
    3,564.57/4,919.27 = 1,992.67/x
  3. Step 3: Cross multiply
    3,564.57x = 4,919.27 × 1,992.67
  4. Step 4: Simplify right side
    3,564.57x = 9,802,447.19
  5. Step 5: Solve for x
    x = 9,802,447.19/3,564.57
  6. Step 6: Final answer
    x = 2,749.97

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Why These Related Problems?

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