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Finding the Fourth Proportional to 4,171.29, 6,256.98 and 1,704.42

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Solution

The fourth proportional to 4,171.29, 6,256.98 and 1,704.42 is: 2,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.29 : 6,256.98 = 1,704.42 : x
  2. Step 2: Convert to fraction form
    4,171.29/6,256.98 = 1,704.42/x
  3. Step 3: Cross multiply
    4,171.29x = 6,256.98 × 1,704.42
  4. Step 4: Simplify right side
    4,171.29x = 10,664,521.85
  5. Step 5: Solve for x
    x = 10,664,521.85/4,171.29
  6. Step 6: Final answer
    x = 2,556.65

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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.