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Finding the Fourth Proportional to 3,136.46, 4,704.92 and 945.21

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Solution

The fourth proportional to 3,136.46, 4,704.92 and 945.21 is: 1,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.46 : 4,704.92 = 945.21 : x
  2. Step 2: Convert to fraction form
    3,136.46/4,704.92 = 945.21/x
  3. Step 3: Cross multiply
    3,136.46x = 4,704.92 × 945.21
  4. Step 4: Simplify right side
    3,136.46x = 4,447,137.43
  5. Step 5: Solve for x
    x = 4,447,137.43/3,136.46
  6. Step 6: Final answer
    x = 1,417.88

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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.