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Finding the Fourth Proportional to 5,671.44, 8,504.24 and 2,548.78

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Solution

The fourth proportional to 5,671.44, 8,504.24 and 2,548.78 is: 3,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.44 : 8,504.24 = 2,548.78 : x
  2. Step 2: Convert to fraction form
    5,671.44/8,504.24 = 2,548.78/x
  3. Step 3: Cross multiply
    5,671.44x = 8,504.24 × 2,548.78
  4. Step 4: Simplify right side
    5,671.44x = 21,675,402.82
  5. Step 5: Solve for x
    x = 21,675,402.82/5,671.44
  6. Step 6: Final answer
    x = 3,821.85

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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.