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Finding the Fourth Proportional to 5,480.96, 8,222.25 and 1,584.86

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Solution

The fourth proportional to 5,480.96, 8,222.25 and 1,584.86 is: 2,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.96 : 8,222.25 = 1,584.86 : x
  2. Step 2: Convert to fraction form
    5,480.96/8,222.25 = 1,584.86/x
  3. Step 3: Cross multiply
    5,480.96x = 8,222.25 × 1,584.86
  4. Step 4: Simplify right side
    5,480.96x = 13,031,115.14
  5. Step 5: Solve for x
    x = 13,031,115.14/5,480.96
  6. Step 6: Final answer
    x = 2,377.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.