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Finding the Fourth Proportional to 5,057.94, 7,587.72 and 2,136.68

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Solution

The fourth proportional to 5,057.94, 7,587.72 and 2,136.68 is: 3,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.94 : 7,587.72 = 2,136.68 : x
  2. Step 2: Convert to fraction form
    5,057.94/7,587.72 = 2,136.68/x
  3. Step 3: Cross multiply
    5,057.94x = 7,587.72 × 2,136.68
  4. Step 4: Simplify right side
    5,057.94x = 16,212,491.63
  5. Step 5: Solve for x
    x = 16,212,491.63/5,057.94
  6. Step 6: Final answer
    x = 3,205.35

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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.