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Finding the Fourth Proportional to 4,704.94, 6,494.16 and 2,912.92

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Solution

The fourth proportional to 4,704.94, 6,494.16 and 2,912.92 is: 4,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.94 : 6,494.16 = 2,912.92 : x
  2. Step 2: Convert to fraction form
    4,704.94/6,494.16 = 2,912.92/x
  3. Step 3: Cross multiply
    4,704.94x = 6,494.16 × 2,912.92
  4. Step 4: Simplify right side
    4,704.94x = 18,916,968.55
  5. Step 5: Solve for x
    x = 18,916,968.55/4,704.94
  6. Step 6: Final answer
    x = 4,020.66

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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.