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Finding the Fourth Proportional to 5,757.48, 7,942.05 and 3,986.01

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Solution

The fourth proportional to 5,757.48, 7,942.05 and 3,986.01 is: 5,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.48 : 7,942.05 = 3,986.01 : x
  2. Step 2: Convert to fraction form
    5,757.48/7,942.05 = 3,986.01/x
  3. Step 3: Cross multiply
    5,757.48x = 7,942.05 × 3,986.01
  4. Step 4: Simplify right side
    5,757.48x = 31,657,090.72
  5. Step 5: Solve for x
    x = 31,657,090.72/5,757.48
  6. Step 6: Final answer
    x = 5,498.43

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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.