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Finding the Fourth Proportional to 4,163.92, 6,245.25 and 1,566.25

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Solution

The fourth proportional to 4,163.92, 6,245.25 and 1,566.25 is: 2,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.92 : 6,245.25 = 1,566.25 : x
  2. Step 2: Convert to fraction form
    4,163.92/6,245.25 = 1,566.25/x
  3. Step 3: Cross multiply
    4,163.92x = 6,245.25 × 1,566.25
  4. Step 4: Simplify right side
    4,163.92x = 9,781,622.81
  5. Step 5: Solve for x
    x = 9,781,622.81/4,163.92
  6. Step 6: Final answer
    x = 2,349.14

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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.