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Finding the Fourth Proportional to 4,086.44, 6,129.50 and 1,622.92

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Solution

The fourth proportional to 4,086.44, 6,129.50 and 1,622.92 is: 2,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.44 : 6,129.50 = 1,622.92 : x
  2. Step 2: Convert to fraction form
    4,086.44/6,129.50 = 1,622.92/x
  3. Step 3: Cross multiply
    4,086.44x = 6,129.50 × 1,622.92
  4. Step 4: Simplify right side
    4,086.44x = 9,947,688.14
  5. Step 5: Solve for x
    x = 9,947,688.14/4,086.44
  6. Step 6: Final answer
    x = 2,434.32

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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.