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Finding the Fourth Proportional to 3,947.81, 5,922.51 and 1,174.23

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Solution

The fourth proportional to 3,947.81, 5,922.51 and 1,174.23 is: 1,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.81 : 5,922.51 = 1,174.23 : x
  2. Step 2: Convert to fraction form
    3,947.81/5,922.51 = 1,174.23/x
  3. Step 3: Cross multiply
    3,947.81x = 5,922.51 × 1,174.23
  4. Step 4: Simplify right side
    3,947.81x = 6,954,384.51
  5. Step 5: Solve for x
    x = 6,954,384.51/3,947.81
  6. Step 6: Final answer
    x = 1,761.58

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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.