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Finding the Fourth Proportional to 4,704.27, 6,494.95 and 3,211.64

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Solution

The fourth proportional to 4,704.27, 6,494.95 and 3,211.64 is: 4,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.27 : 6,494.95 = 3,211.64 : x
  2. Step 2: Convert to fraction form
    4,704.27/6,494.95 = 3,211.64/x
  3. Step 3: Cross multiply
    4,704.27x = 6,494.95 × 3,211.64
  4. Step 4: Simplify right side
    4,704.27x = 20,859,416.95
  5. Step 5: Solve for x
    x = 20,859,416.95/4,704.27
  6. Step 6: Final answer
    x = 4,434.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.