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Finding the Fourth Proportional to 5,786.64, 8,680.35 and 2,323.89

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Solution

The fourth proportional to 5,786.64, 8,680.35 and 2,323.89 is: 3,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.64 : 8,680.35 = 2,323.89 : x
  2. Step 2: Convert to fraction form
    5,786.64/8,680.35 = 2,323.89/x
  3. Step 3: Cross multiply
    5,786.64x = 8,680.35 × 2,323.89
  4. Step 4: Simplify right side
    5,786.64x = 20,172,178.56
  5. Step 5: Solve for x
    x = 20,172,178.56/5,786.64
  6. Step 6: Final answer
    x = 3,485.99

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Why These Related Problems?

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