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Finding the Fourth Proportional to 3,180.54, 4,772.43 and 2,939.97

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Solution

The fourth proportional to 3,180.54, 4,772.43 and 2,939.97 is: 4,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.54 : 4,772.43 = 2,939.97 : x
  2. Step 2: Convert to fraction form
    3,180.54/4,772.43 = 2,939.97/x
  3. Step 3: Cross multiply
    3,180.54x = 4,772.43 × 2,939.97
  4. Step 4: Simplify right side
    3,180.54x = 14,030,801.03
  5. Step 5: Solve for x
    x = 14,030,801.03/3,180.54
  6. Step 6: Final answer
    x = 4,411.45

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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.