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Finding the Fourth Proportional to 3,791.49, 5,688.06 and 1,159.21

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Solution

The fourth proportional to 3,791.49, 5,688.06 and 1,159.21 is: 1,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.49 : 5,688.06 = 1,159.21 : x
  2. Step 2: Convert to fraction form
    3,791.49/5,688.06 = 1,159.21/x
  3. Step 3: Cross multiply
    3,791.49x = 5,688.06 × 1,159.21
  4. Step 4: Simplify right side
    3,791.49x = 6,593,656.03
  5. Step 5: Solve for x
    x = 6,593,656.03/3,791.49
  6. Step 6: Final answer
    x = 1,739.07

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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.