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Finding the Fourth Proportional to 5,537.96, 7,649 and 4,043.48

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Solution

The fourth proportional to 5,537.96, 7,649 and 4,043.48 is: 5,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.96 : 7,649 = 4,043.48 : x
  2. Step 2: Convert to fraction form
    5,537.96/7,649 = 4,043.48/x
  3. Step 3: Cross multiply
    5,537.96x = 7,649 × 4,043.48
  4. Step 4: Simplify right side
    5,537.96x = 30,928,578.52
  5. Step 5: Solve for x
    x = 30,928,578.52/5,537.96
  6. Step 6: Final answer
    x = 5,584.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.