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Finding the Fourth Proportional to 5,366, 8,053.36 and 2,769.68

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Solution

The fourth proportional to 5,366, 8,053.36 and 2,769.68 is: 4,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366 : 8,053.36 = 2,769.68 : x
  2. Step 2: Convert to fraction form
    5,366/8,053.36 = 2,769.68/x
  3. Step 3: Cross multiply
    5,366x = 8,053.36 × 2,769.68
  4. Step 4: Simplify right side
    5,366x = 22,305,230.12
  5. Step 5: Solve for x
    x = 22,305,230.12/5,366
  6. Step 6: Final answer
    x = 4,156.77

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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.