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Finding the Fourth Proportional to 6,167.78, 8,508.49 and 4,400.41

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Solution

The fourth proportional to 6,167.78, 8,508.49 and 4,400.41 is: 6,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.78 : 8,508.49 = 4,400.41 : x
  2. Step 2: Convert to fraction form
    6,167.78/8,508.49 = 4,400.41/x
  3. Step 3: Cross multiply
    6,167.78x = 8,508.49 × 4,400.41
  4. Step 4: Simplify right side
    6,167.78x = 37,440,844.48
  5. Step 5: Solve for x
    x = 37,440,844.48/6,167.78
  6. Step 6: Final answer
    x = 6,070.39

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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.