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Finding the Fourth Proportional to 5,057.64, 7,584.84 and 2,136.24

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Solution

The fourth proportional to 5,057.64, 7,584.84 and 2,136.24 is: 3,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.64 : 7,584.84 = 2,136.24 : x
  2. Step 2: Convert to fraction form
    5,057.64/7,584.84 = 2,136.24/x
  3. Step 3: Cross multiply
    5,057.64x = 7,584.84 × 2,136.24
  4. Step 4: Simplify right side
    5,057.64x = 16,203,038.60
  5. Step 5: Solve for x
    x = 16,203,038.60/5,057.64
  6. Step 6: Final answer
    x = 3,203.68

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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.