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Finding the Fourth Proportional to 5,117.67, 7,680.15 and 2,782.44

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Solution

The fourth proportional to 5,117.67, 7,680.15 and 2,782.44 is: 4,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.67 : 7,680.15 = 2,782.44 : x
  2. Step 2: Convert to fraction form
    5,117.67/7,680.15 = 2,782.44/x
  3. Step 3: Cross multiply
    5,117.67x = 7,680.15 × 2,782.44
  4. Step 4: Simplify right side
    5,117.67x = 21,369,556.57
  5. Step 5: Solve for x
    x = 21,369,556.57/5,117.67
  6. Step 6: Final answer
    x = 4,175.64

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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.