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Finding the Fourth Proportional to 5,748.21, 8,625.24 and 2,627.82

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Solution

The fourth proportional to 5,748.21, 8,625.24 and 2,627.82 is: 3,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.21 : 8,625.24 = 2,627.82 : x
  2. Step 2: Convert to fraction form
    5,748.21/8,625.24 = 2,627.82/x
  3. Step 3: Cross multiply
    5,748.21x = 8,625.24 × 2,627.82
  4. Step 4: Simplify right side
    5,748.21x = 22,665,578.18
  5. Step 5: Solve for x
    x = 22,665,578.18/5,748.21
  6. Step 6: Final answer
    x = 3,943.07

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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.