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Finding the Fourth Proportional to 6,077.43, 8,382.56 and 3,809.43

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Solution

The fourth proportional to 6,077.43, 8,382.56 and 3,809.43 is: 5,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.43 : 8,382.56 = 3,809.43 : x
  2. Step 2: Convert to fraction form
    6,077.43/8,382.56 = 3,809.43/x
  3. Step 3: Cross multiply
    6,077.43x = 8,382.56 × 3,809.43
  4. Step 4: Simplify right side
    6,077.43x = 31,932,756.49
  5. Step 5: Solve for x
    x = 31,932,756.49/6,077.43
  6. Step 6: Final answer
    x = 5,254.32

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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.