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Finding the Fourth Proportional to 3,809.76, 5,716.42 and 1,346.44

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Solution

The fourth proportional to 3,809.76, 5,716.42 and 1,346.44 is: 2,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.76 : 5,716.42 = 1,346.44 : x
  2. Step 2: Convert to fraction form
    3,809.76/5,716.42 = 1,346.44/x
  3. Step 3: Cross multiply
    3,809.76x = 5,716.42 × 1,346.44
  4. Step 4: Simplify right side
    3,809.76x = 7,696,816.54
  5. Step 5: Solve for x
    x = 7,696,816.54/3,809.76
  6. Step 6: Final answer
    x = 2,020.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.