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Finding the Fourth Proportional to 5,211.27, 7,845.05 and 4,759.29

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Solution

The fourth proportional to 5,211.27, 7,845.05 and 4,759.29 is: 7,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.27 : 7,845.05 = 4,759.29 : x
  2. Step 2: Convert to fraction form
    5,211.27/7,845.05 = 4,759.29/x
  3. Step 3: Cross multiply
    5,211.27x = 7,845.05 × 4,759.29
  4. Step 4: Simplify right side
    5,211.27x = 37,336,879.91
  5. Step 5: Solve for x
    x = 37,336,879.91/5,211.27
  6. Step 6: Final answer
    x = 7,164.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.