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Finding the Fourth Proportional to 4,095.92, 5,645.76 and 2,769.14

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Solution

The fourth proportional to 4,095.92, 5,645.76 and 2,769.14 is: 3,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.92 : 5,645.76 = 2,769.14 : x
  2. Step 2: Convert to fraction form
    4,095.92/5,645.76 = 2,769.14/x
  3. Step 3: Cross multiply
    4,095.92x = 5,645.76 × 2,769.14
  4. Step 4: Simplify right side
    4,095.92x = 15,633,899.85
  5. Step 5: Solve for x
    x = 15,633,899.85/4,095.92
  6. Step 6: Final answer
    x = 3,816.94

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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.