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Finding the Fourth Proportional to 6,071.31, 8,378.22 and 3,418.38

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Solution

The fourth proportional to 6,071.31, 8,378.22 and 3,418.38 is: 4,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.31 : 8,378.22 = 3,418.38 : x
  2. Step 2: Convert to fraction form
    6,071.31/8,378.22 = 3,418.38/x
  3. Step 3: Cross multiply
    6,071.31x = 8,378.22 × 3,418.38
  4. Step 4: Simplify right side
    6,071.31x = 28,639,939.68
  5. Step 5: Solve for x
    x = 28,639,939.68/6,071.31
  6. Step 6: Final answer
    x = 4,717.26

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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.