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Finding the Fourth Proportional to 6,087.24, 8,400.24 and 3,434.49

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Solution

The fourth proportional to 6,087.24, 8,400.24 and 3,434.49 is: 4,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.24 : 8,400.24 = 3,434.49 : x
  2. Step 2: Convert to fraction form
    6,087.24/8,400.24 = 3,434.49/x
  3. Step 3: Cross multiply
    6,087.24x = 8,400.24 × 3,434.49
  4. Step 4: Simplify right side
    6,087.24x = 28,850,540.28
  5. Step 5: Solve for x
    x = 28,850,540.28/6,087.24
  6. Step 6: Final answer
    x = 4,739.51

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