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Finding the Fourth Proportional to 4,129.71, 6,194.75 and 1,168.37

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Solution

The fourth proportional to 4,129.71, 6,194.75 and 1,168.37 is: 1,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.71 : 6,194.75 = 1,168.37 : x
  2. Step 2: Convert to fraction form
    4,129.71/6,194.75 = 1,168.37/x
  3. Step 3: Cross multiply
    4,129.71x = 6,194.75 × 1,168.37
  4. Step 4: Simplify right side
    4,129.71x = 7,237,791.18
  5. Step 5: Solve for x
    x = 7,237,791.18/4,129.71
  6. Step 6: Final answer
    x = 1,752.62

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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.