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Finding the Fourth Proportional to 6,164.90, 9,252.84 and 2,879.85

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Solution

The fourth proportional to 6,164.90, 9,252.84 and 2,879.85 is: 4,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.90 : 9,252.84 = 2,879.85 : x
  2. Step 2: Convert to fraction form
    6,164.90/9,252.84 = 2,879.85/x
  3. Step 3: Cross multiply
    6,164.90x = 9,252.84 × 2,879.85
  4. Step 4: Simplify right side
    6,164.90x = 26,646,767.38
  5. Step 5: Solve for x
    x = 26,646,767.38/6,164.90
  6. Step 6: Final answer
    x = 4,322.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.