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Finding the Fourth Proportional to 5,756.80, 7,944.96 and 3,519.68

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Solution

The fourth proportional to 5,756.80, 7,944.96 and 3,519.68 is: 4,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.80 : 7,944.96 = 3,519.68 : x
  2. Step 2: Convert to fraction form
    5,756.80/7,944.96 = 3,519.68/x
  3. Step 3: Cross multiply
    5,756.80x = 7,944.96 × 3,519.68
  4. Step 4: Simplify right side
    5,756.80x = 27,963,716.81
  5. Step 5: Solve for x
    x = 27,963,716.81/5,756.80
  6. Step 6: Final answer
    x = 4,857.51

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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.