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Finding the Fourth Proportional to 5,236, 7,856.02 and 1,773.24

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Solution

The fourth proportional to 5,236, 7,856.02 and 1,773.24 is: 2,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236 : 7,856.02 = 1,773.24 : x
  2. Step 2: Convert to fraction form
    5,236/7,856.02 = 1,773.24/x
  3. Step 3: Cross multiply
    5,236x = 7,856.02 × 1,773.24
  4. Step 4: Simplify right side
    5,236x = 13,930,608.90
  5. Step 5: Solve for x
    x = 13,930,608.90/5,236
  6. Step 6: Final answer
    x = 2,660.54

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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.