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Finding the Fourth Proportional to 6,164.53, 9,252.28 and 2,879.47

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Solution

The fourth proportional to 6,164.53, 9,252.28 and 2,879.47 is: 4,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.53 : 9,252.28 = 2,879.47 : x
  2. Step 2: Convert to fraction form
    6,164.53/9,252.28 = 2,879.47/x
  3. Step 3: Cross multiply
    6,164.53x = 9,252.28 × 2,879.47
  4. Step 4: Simplify right side
    6,164.53x = 26,641,677.86
  5. Step 5: Solve for x
    x = 26,641,677.86/6,164.53
  6. Step 6: Final answer
    x = 4,321.77

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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.