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Finding the Fourth Proportional to 6,106.25, 8,427.89 and 3,453.77

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Solution

The fourth proportional to 6,106.25, 8,427.89 and 3,453.77 is: 4,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.25 : 8,427.89 = 3,453.77 : x
  2. Step 2: Convert to fraction form
    6,106.25/8,427.89 = 3,453.77/x
  3. Step 3: Cross multiply
    6,106.25x = 8,427.89 × 3,453.77
  4. Step 4: Simplify right side
    6,106.25x = 29,107,976.38
  5. Step 5: Solve for x
    x = 29,107,976.38/6,106.25
  6. Step 6: Final answer
    x = 4,766.92

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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.