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Finding the Fourth Proportional to 6,356.90, 8,778.23 and 4,122.38

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Solution

The fourth proportional to 6,356.90, 8,778.23 and 4,122.38 is: 5,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.90 : 8,778.23 = 4,122.38 : x
  2. Step 2: Convert to fraction form
    6,356.90/8,778.23 = 4,122.38/x
  3. Step 3: Cross multiply
    6,356.90x = 8,778.23 × 4,122.38
  4. Step 4: Simplify right side
    6,356.90x = 36,187,135.28
  5. Step 5: Solve for x
    x = 36,187,135.28/6,356.90
  6. Step 6: Final answer
    x = 5,692.58

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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.