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Finding the Fourth Proportional to 6,164.56, 8,508.68 and 3,805.35

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Solution

The fourth proportional to 6,164.56, 8,508.68 and 3,805.35 is: 5,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.56 : 8,508.68 = 3,805.35 : x
  2. Step 2: Convert to fraction form
    6,164.56/8,508.68 = 3,805.35/x
  3. Step 3: Cross multiply
    6,164.56x = 8,508.68 × 3,805.35
  4. Step 4: Simplify right side
    6,164.56x = 32,378,505.44
  5. Step 5: Solve for x
    x = 32,378,505.44/6,164.56
  6. Step 6: Final answer
    x = 5,252.36

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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.