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Finding the Fourth Proportional to 5,847.04, 8,068.86 and 3,194.46

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Solution

The fourth proportional to 5,847.04, 8,068.86 and 3,194.46 is: 4,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.04 : 8,068.86 = 3,194.46 : x
  2. Step 2: Convert to fraction form
    5,847.04/8,068.86 = 3,194.46/x
  3. Step 3: Cross multiply
    5,847.04x = 8,068.86 × 3,194.46
  4. Step 4: Simplify right side
    5,847.04x = 25,775,650.52
  5. Step 5: Solve for x
    x = 25,775,650.52/5,847.04
  6. Step 6: Final answer
    x = 4,408.32

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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.