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Finding the Fourth Proportional to 5,813.46, 8,714.12 and 2,847.83

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Solution

The fourth proportional to 5,813.46, 8,714.12 and 2,847.83 is: 4,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.46 : 8,714.12 = 2,847.83 : x
  2. Step 2: Convert to fraction form
    5,813.46/8,714.12 = 2,847.83/x
  3. Step 3: Cross multiply
    5,813.46x = 8,714.12 × 2,847.83
  4. Step 4: Simplify right side
    5,813.46x = 24,816,274.55
  5. Step 5: Solve for x
    x = 24,816,274.55/5,813.46
  6. Step 6: Final answer
    x = 4,268.76

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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.