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Finding the Fourth Proportional to 3,431.71, 4,735.47 and 1,939.75

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Solution

The fourth proportional to 3,431.71, 4,735.47 and 1,939.75 is: 2,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.71 : 4,735.47 = 1,939.75 : x
  2. Step 2: Convert to fraction form
    3,431.71/4,735.47 = 1,939.75/x
  3. Step 3: Cross multiply
    3,431.71x = 4,735.47 × 1,939.75
  4. Step 4: Simplify right side
    3,431.71x = 9,185,627.93
  5. Step 5: Solve for x
    x = 9,185,627.93/3,431.71
  6. Step 6: Final answer
    x = 2,676.69

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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.