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Finding the Fourth Proportional to 5,542.69, 7,650.17 and 3,775

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Solution

The fourth proportional to 5,542.69, 7,650.17 and 3,775 is: 5,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.69 : 7,650.17 = 3,775 : x
  2. Step 2: Convert to fraction form
    5,542.69/7,650.17 = 3,775/x
  3. Step 3: Cross multiply
    5,542.69x = 7,650.17 × 3,775
  4. Step 4: Simplify right side
    5,542.69x = 28,879,391.75
  5. Step 5: Solve for x
    x = 28,879,391.75/5,542.69
  6. Step 6: Final answer
    x = 5,210.36

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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.