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Finding the Fourth Proportional to 5,496.48, 8,236.22 and 4,194

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Solution

The fourth proportional to 5,496.48, 8,236.22 and 4,194 is: 6,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.48 : 8,236.22 = 4,194 : x
  2. Step 2: Convert to fraction form
    5,496.48/8,236.22 = 4,194/x
  3. Step 3: Cross multiply
    5,496.48x = 8,236.22 × 4,194
  4. Step 4: Simplify right side
    5,496.48x = 34,542,685.71
  5. Step 5: Solve for x
    x = 34,542,685.71/5,496.48
  6. Step 6: Final answer
    x = 6,284.51

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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.