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Finding the Fourth Proportional to 4,095.70, 5,648.90 and 2,769.16

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Solution

The fourth proportional to 4,095.70, 5,648.90 and 2,769.16 is: 3,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.70 : 5,648.90 = 2,769.16 : x
  2. Step 2: Convert to fraction form
    4,095.70/5,648.90 = 2,769.16/x
  3. Step 3: Cross multiply
    4,095.70x = 5,648.90 × 2,769.16
  4. Step 4: Simplify right side
    4,095.70x = 15,642,707.92
  5. Step 5: Solve for x
    x = 15,642,707.92/4,095.70
  6. Step 6: Final answer
    x = 3,819.30

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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.