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Finding the Fourth Proportional to 5,864.62, 8,790.74 and 2,164.48

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Solution

The fourth proportional to 5,864.62, 8,790.74 and 2,164.48 is: 3,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.62 : 8,790.74 = 2,164.48 : x
  2. Step 2: Convert to fraction form
    5,864.62/8,790.74 = 2,164.48/x
  3. Step 3: Cross multiply
    5,864.62x = 8,790.74 × 2,164.48
  4. Step 4: Simplify right side
    5,864.62x = 19,027,380.92
  5. Step 5: Solve for x
    x = 19,027,380.92/5,864.62
  6. Step 6: Final answer
    x = 3,244.44

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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.