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Finding the Fourth Proportional to 5,136.92, 7,700.92 and 3,184.82

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Solution

The fourth proportional to 5,136.92, 7,700.92 and 3,184.82 is: 4,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.92 : 7,700.92 = 3,184.82 : x
  2. Step 2: Convert to fraction form
    5,136.92/7,700.92 = 3,184.82/x
  3. Step 3: Cross multiply
    5,136.92x = 7,700.92 × 3,184.82
  4. Step 4: Simplify right side
    5,136.92x = 24,526,044.03
  5. Step 5: Solve for x
    x = 24,526,044.03/5,136.92
  6. Step 6: Final answer
    x = 4,774.46

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1.5x scale

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.