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Finding the Fourth Proportional to 4,514.57, 6,772.19 and 1,741.26

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Solution

The fourth proportional to 4,514.57, 6,772.19 and 1,741.26 is: 2,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.57 : 6,772.19 = 1,741.26 : x
  2. Step 2: Convert to fraction form
    4,514.57/6,772.19 = 1,741.26/x
  3. Step 3: Cross multiply
    4,514.57x = 6,772.19 × 1,741.26
  4. Step 4: Simplify right side
    4,514.57x = 11,792,143.56
  5. Step 5: Solve for x
    x = 11,792,143.56/4,514.57
  6. Step 6: Final answer
    x = 2,612.02

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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.