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Finding the Fourth Proportional to 5,823.73, 8,728.13 and 2,861.46

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Solution

The fourth proportional to 5,823.73, 8,728.13 and 2,861.46 is: 4,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.73 : 8,728.13 = 2,861.46 : x
  2. Step 2: Convert to fraction form
    5,823.73/8,728.13 = 2,861.46/x
  3. Step 3: Cross multiply
    5,823.73x = 8,728.13 × 2,861.46
  4. Step 4: Simplify right side
    5,823.73x = 24,975,194.87
  5. Step 5: Solve for x
    x = 24,975,194.87/5,823.73
  6. Step 6: Final answer
    x = 4,288.52

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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.