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Finding the Fourth Proportional to 3,729.94, 5,147.47 and 2,237.31

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Solution

The fourth proportional to 3,729.94, 5,147.47 and 2,237.31 is: 3,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.94 : 5,147.47 = 2,237.31 : x
  2. Step 2: Convert to fraction form
    3,729.94/5,147.47 = 2,237.31/x
  3. Step 3: Cross multiply
    3,729.94x = 5,147.47 × 2,237.31
  4. Step 4: Simplify right side
    3,729.94x = 11,516,474.92
  5. Step 5: Solve for x
    x = 11,516,474.92/3,729.94
  6. Step 6: Final answer
    x = 3,087.58

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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.