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Finding the Fourth Proportional to 6,422.22, 8,859.38 and 4,187.84

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Solution

The fourth proportional to 6,422.22, 8,859.38 and 4,187.84 is: 5,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.22 : 8,859.38 = 4,187.84 : x
  2. Step 2: Convert to fraction form
    6,422.22/8,859.38 = 4,187.84/x
  3. Step 3: Cross multiply
    6,422.22x = 8,859.38 × 4,187.84
  4. Step 4: Simplify right side
    6,422.22x = 37,101,665.94
  5. Step 5: Solve for x
    x = 37,101,665.94/6,422.22
  6. Step 6: Final answer
    x = 5,777.08

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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.