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Finding the Fourth Proportional to 6,074, 8,377.90 and 3,717.31

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Solution

The fourth proportional to 6,074, 8,377.90 and 3,717.31 is: 5,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074 : 8,377.90 = 3,717.31 : x
  2. Step 2: Convert to fraction form
    6,074/8,377.90 = 3,717.31/x
  3. Step 3: Cross multiply
    6,074x = 8,377.90 × 3,717.31
  4. Step 4: Simplify right side
    6,074x = 31,143,251.45
  5. Step 5: Solve for x
    x = 31,143,251.45/6,074
  6. Step 6: Final answer
    x = 5,127.31

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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.