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Finding the Fourth Proportional to 6,106.92, 8,427.56 and 3,454.28

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Solution

The fourth proportional to 6,106.92, 8,427.56 and 3,454.28 is: 4,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.92 : 8,427.56 = 3,454.28 : x
  2. Step 2: Convert to fraction form
    6,106.92/8,427.56 = 3,454.28/x
  3. Step 3: Cross multiply
    6,106.92x = 8,427.56 × 3,454.28
  4. Step 4: Simplify right side
    6,106.92x = 29,111,092.55
  5. Step 5: Solve for x
    x = 29,111,092.55/6,106.92
  6. Step 6: Final answer
    x = 4,766.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.