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Finding the Fourth Proportional to 5,847.35, 8,069.04 and 3,194.24

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Solution

The fourth proportional to 5,847.35, 8,069.04 and 3,194.24 is: 4,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.35 : 8,069.04 = 3,194.24 : x
  2. Step 2: Convert to fraction form
    5,847.35/8,069.04 = 3,194.24/x
  3. Step 3: Cross multiply
    5,847.35x = 8,069.04 × 3,194.24
  4. Step 4: Simplify right side
    5,847.35x = 25,774,409.98
  5. Step 5: Solve for x
    x = 25,774,409.98/5,847.35
  6. Step 6: Final answer
    x = 4,407.88

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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.