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Finding the Fourth Proportional to 4,542.50, 6,813.90 and 1,255.58

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Solution

The fourth proportional to 4,542.50, 6,813.90 and 1,255.58 is: 1,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.50 : 6,813.90 = 1,255.58 : x
  2. Step 2: Convert to fraction form
    4,542.50/6,813.90 = 1,255.58/x
  3. Step 3: Cross multiply
    4,542.50x = 6,813.90 × 1,255.58
  4. Step 4: Simplify right side
    4,542.50x = 8,555,396.56
  5. Step 5: Solve for x
    x = 8,555,396.56/4,542.50
  6. Step 6: Final answer
    x = 1,883.41

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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.