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Finding the Fourth Proportional to 5,844.17, 8,064.84 and 3,191.60

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Solution

The fourth proportional to 5,844.17, 8,064.84 and 3,191.60 is: 4,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.17 : 8,064.84 = 3,191.60 : x
  2. Step 2: Convert to fraction form
    5,844.17/8,064.84 = 3,191.60/x
  3. Step 3: Cross multiply
    5,844.17x = 8,064.84 × 3,191.60
  4. Step 4: Simplify right side
    5,844.17x = 25,739,687.06
  5. Step 5: Solve for x
    x = 25,739,687.06/5,844.17
  6. Step 6: Final answer
    x = 4,404.34

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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.