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Finding the Fourth Proportional to 5,687.86, 8,527.74 and 2,174.90

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Solution

The fourth proportional to 5,687.86, 8,527.74 and 2,174.90 is: 3,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.86 : 8,527.74 = 2,174.90 : x
  2. Step 2: Convert to fraction form
    5,687.86/8,527.74 = 2,174.90/x
  3. Step 3: Cross multiply
    5,687.86x = 8,527.74 × 2,174.90
  4. Step 4: Simplify right side
    5,687.86x = 18,546,981.73
  5. Step 5: Solve for x
    x = 18,546,981.73/5,687.86
  6. Step 6: Final answer
    x = 3,260.80

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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.