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Finding the Fourth Proportional to 6,546.57, 9,819.79 and 2,650.92

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Solution

The fourth proportional to 6,546.57, 9,819.79 and 2,650.92 is: 3,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.57 : 9,819.79 = 2,650.92 : x
  2. Step 2: Convert to fraction form
    6,546.57/9,819.79 = 2,650.92/x
  3. Step 3: Cross multiply
    6,546.57x = 9,819.79 × 2,650.92
  4. Step 4: Simplify right side
    6,546.57x = 26,031,477.71
  5. Step 5: Solve for x
    x = 26,031,477.71/6,546.57
  6. Step 6: Final answer
    x = 3,976.35

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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.