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Finding the Fourth Proportional to 5,836.17, 8,054.02 and 3,183.67

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Solution

The fourth proportional to 5,836.17, 8,054.02 and 3,183.67 is: 4,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.17 : 8,054.02 = 3,183.67 : x
  2. Step 2: Convert to fraction form
    5,836.17/8,054.02 = 3,183.67/x
  3. Step 3: Cross multiply
    5,836.17x = 8,054.02 × 3,183.67
  4. Step 4: Simplify right side
    5,836.17x = 25,641,341.85
  5. Step 5: Solve for x
    x = 25,641,341.85/5,836.17
  6. Step 6: Final answer
    x = 4,393.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.