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Finding the Fourth Proportional to 5,847.32, 8,069.22 and 3,194.74

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Solution

The fourth proportional to 5,847.32, 8,069.22 and 3,194.74 is: 4,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.32 : 8,069.22 = 3,194.74 : x
  2. Step 2: Convert to fraction form
    5,847.32/8,069.22 = 3,194.74/x
  3. Step 3: Cross multiply
    5,847.32x = 8,069.22 × 3,194.74
  4. Step 4: Simplify right side
    5,847.32x = 25,779,069.99
  5. Step 5: Solve for x
    x = 25,779,069.99/5,847.32
  6. Step 6: Final answer
    x = 4,408.70

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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.