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Finding the Fourth Proportional to 5,803.60, 8,694.60 and 5,414.80

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Solution

The fourth proportional to 5,803.60, 8,694.60 and 5,414.80 is: 8,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.60 : 8,694.60 = 5,414.80 : x
  2. Step 2: Convert to fraction form
    5,803.60/8,694.60 = 5,414.80/x
  3. Step 3: Cross multiply
    5,803.60x = 8,694.60 × 5,414.80
  4. Step 4: Simplify right side
    5,803.60x = 47,079,520.08
  5. Step 5: Solve for x
    x = 47,079,520.08/5,803.60
  6. Step 6: Final answer
    x = 8,112.12

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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.