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Finding the Fourth Proportional to 5,843.68, 8,064.29 and 3,191.10

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Solution

The fourth proportional to 5,843.68, 8,064.29 and 3,191.10 is: 4,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.68 : 8,064.29 = 3,191.10 : x
  2. Step 2: Convert to fraction form
    5,843.68/8,064.29 = 3,191.10/x
  3. Step 3: Cross multiply
    5,843.68x = 8,064.29 × 3,191.10
  4. Step 4: Simplify right side
    5,843.68x = 25,733,933.56
  5. Step 5: Solve for x
    x = 25,733,933.56/5,843.68
  6. Step 6: Final answer
    x = 4,403.72

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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.