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Finding the Fourth Proportional to 3,969.76, 5,947.38 and 3,532.36

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Solution

The fourth proportional to 3,969.76, 5,947.38 and 3,532.36 is: 5,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.76 : 5,947.38 = 3,532.36 : x
  2. Step 2: Convert to fraction form
    3,969.76/5,947.38 = 3,532.36/x
  3. Step 3: Cross multiply
    3,969.76x = 5,947.38 × 3,532.36
  4. Step 4: Simplify right side
    3,969.76x = 21,008,287.22
  5. Step 5: Solve for x
    x = 21,008,287.22/3,969.76
  6. Step 6: Final answer
    x = 5,292.08

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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.