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Finding the Fourth Proportional to 5,502.16, 8,255.40 and 2,422

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Solution

The fourth proportional to 5,502.16, 8,255.40 and 2,422 is: 3,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.16 : 8,255.40 = 2,422 : x
  2. Step 2: Convert to fraction form
    5,502.16/8,255.40 = 2,422/x
  3. Step 3: Cross multiply
    5,502.16x = 8,255.40 × 2,422
  4. Step 4: Simplify right side
    5,502.16x = 19,994,578.80
  5. Step 5: Solve for x
    x = 19,994,578.80/5,502.16
  6. Step 6: Final answer
    x = 3,633.95

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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.