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Finding the Fourth Proportional to 6,164.31, 8,508.33 and 3,805.10

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Solution

The fourth proportional to 6,164.31, 8,508.33 and 3,805.10 is: 5,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.31 : 8,508.33 = 3,805.10 : x
  2. Step 2: Convert to fraction form
    6,164.31/8,508.33 = 3,805.10/x
  3. Step 3: Cross multiply
    6,164.31x = 8,508.33 × 3,805.10
  4. Step 4: Simplify right side
    6,164.31x = 32,375,003.94
  5. Step 5: Solve for x
    x = 32,375,003.94/6,164.31
  6. Step 6: Final answer
    x = 5,252.01

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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.