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Finding the Fourth Proportional to 5,136.30, 7,709.94 and 4,523.94

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Solution

The fourth proportional to 5,136.30, 7,709.94 and 4,523.94 is: 6,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.30 : 7,709.94 = 4,523.94 : x
  2. Step 2: Convert to fraction form
    5,136.30/7,709.94 = 4,523.94/x
  3. Step 3: Cross multiply
    5,136.30x = 7,709.94 × 4,523.94
  4. Step 4: Simplify right side
    5,136.30x = 34,879,305.96
  5. Step 5: Solve for x
    x = 34,879,305.96/5,136.30
  6. Step 6: Final answer
    x = 6,790.75

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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.