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Finding the Fourth Proportional to 3,524.90, 5,280.82 and 3,057.44

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Solution

The fourth proportional to 3,524.90, 5,280.82 and 3,057.44 is: 4,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.90 : 5,280.82 = 3,057.44 : x
  2. Step 2: Convert to fraction form
    3,524.90/5,280.82 = 3,057.44/x
  3. Step 3: Cross multiply
    3,524.90x = 5,280.82 × 3,057.44
  4. Step 4: Simplify right side
    3,524.90x = 16,145,756.25
  5. Step 5: Solve for x
    x = 16,145,756.25/3,524.90
  6. Step 6: Final answer
    x = 4,580.49

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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.