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Finding the Fourth Proportional to 6,164.20, 8,505.74 and 3,511.48

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Solution

The fourth proportional to 6,164.20, 8,505.74 and 3,511.48 is: 4,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.20 : 8,505.74 = 3,511.48 : x
  2. Step 2: Convert to fraction form
    6,164.20/8,505.74 = 3,511.48/x
  3. Step 3: Cross multiply
    6,164.20x = 8,505.74 × 3,511.48
  4. Step 4: Simplify right side
    6,164.20x = 29,867,735.90
  5. Step 5: Solve for x
    x = 29,867,735.90/6,164.20
  6. Step 6: Final answer
    x = 4,845.35

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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.