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Finding the Fourth Proportional to 5,691.75, 8,541.48 and 1,994.01

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Solution

The fourth proportional to 5,691.75, 8,541.48 and 1,994.01 is: 2,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.75 : 8,541.48 = 1,994.01 : x
  2. Step 2: Convert to fraction form
    5,691.75/8,541.48 = 1,994.01/x
  3. Step 3: Cross multiply
    5,691.75x = 8,541.48 × 1,994.01
  4. Step 4: Simplify right side
    5,691.75x = 17,031,796.53
  5. Step 5: Solve for x
    x = 17,031,796.53/5,691.75
  6. Step 6: Final answer
    x = 2,992.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.