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Finding the Fourth Proportional to 3,136.50, 4,704.81 and 828.06

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Solution

The fourth proportional to 3,136.50, 4,704.81 and 828.06 is: 1,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.50 : 4,704.81 = 828.06 : x
  2. Step 2: Convert to fraction form
    3,136.50/4,704.81 = 828.06/x
  3. Step 3: Cross multiply
    3,136.50x = 4,704.81 × 828.06
  4. Step 4: Simplify right side
    3,136.50x = 3,895,864.97
  5. Step 5: Solve for x
    x = 3,895,864.97/3,136.50
  6. Step 6: Final answer
    x = 1,242.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.