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Finding the Fourth Proportional to 4,183.73, 6,275.60 and 1,586.67

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Solution

The fourth proportional to 4,183.73, 6,275.60 and 1,586.67 is: 2,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.73 : 6,275.60 = 1,586.67 : x
  2. Step 2: Convert to fraction form
    4,183.73/6,275.60 = 1,586.67/x
  3. Step 3: Cross multiply
    4,183.73x = 6,275.60 × 1,586.67
  4. Step 4: Simplify right side
    4,183.73x = 9,957,320.50
  5. Step 5: Solve for x
    x = 9,957,320.50/4,183.73
  6. Step 6: Final answer
    x = 2,380.01

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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.