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Finding the Fourth Proportional to 5,847.40, 8,771.10 and 4,097.80

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Solution

The fourth proportional to 5,847.40, 8,771.10 and 4,097.80 is: 6,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.40 : 8,771.10 = 4,097.80 : x
  2. Step 2: Convert to fraction form
    5,847.40/8,771.10 = 4,097.80/x
  3. Step 3: Cross multiply
    5,847.40x = 8,771.10 × 4,097.80
  4. Step 4: Simplify right side
    5,847.40x = 35,942,213.58
  5. Step 5: Solve for x
    x = 35,942,213.58/5,847.40
  6. Step 6: Final answer
    x = 6,146.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.