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Finding the Fourth Proportional to 5,753.24, 8,627.99 and 1,856.73

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Solution

The fourth proportional to 5,753.24, 8,627.99 and 1,856.73 is: 2,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.24 : 8,627.99 = 1,856.73 : x
  2. Step 2: Convert to fraction form
    5,753.24/8,627.99 = 1,856.73/x
  3. Step 3: Cross multiply
    5,753.24x = 8,627.99 × 1,856.73
  4. Step 4: Simplify right side
    5,753.24x = 16,019,838.59
  5. Step 5: Solve for x
    x = 16,019,838.59/5,753.24
  6. Step 6: Final answer
    x = 2,784.49

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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.