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Finding the Fourth Proportional to 5,584.91, 8,377.25 and 1,424.83

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Solution

The fourth proportional to 5,584.91, 8,377.25 and 1,424.83 is: 2,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.91 : 8,377.25 = 1,424.83 : x
  2. Step 2: Convert to fraction form
    5,584.91/8,377.25 = 1,424.83/x
  3. Step 3: Cross multiply
    5,584.91x = 8,377.25 × 1,424.83
  4. Step 4: Simplify right side
    5,584.91x = 11,936,157.12
  5. Step 5: Solve for x
    x = 11,936,157.12/5,584.91
  6. Step 6: Final answer
    x = 2,137.22

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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.