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Finding the Fourth Proportional to 5,957.24, 8,930.75 and 3,761.10

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Solution

The fourth proportional to 5,957.24, 8,930.75 and 3,761.10 is: 5,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.24 : 8,930.75 = 3,761.10 : x
  2. Step 2: Convert to fraction form
    5,957.24/8,930.75 = 3,761.10/x
  3. Step 3: Cross multiply
    5,957.24x = 8,930.75 × 3,761.10
  4. Step 4: Simplify right side
    5,957.24x = 33,589,425.02
  5. Step 5: Solve for x
    x = 33,589,425.02/5,957.24
  6. Step 6: Final answer
    x = 5,638.43

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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.