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Finding the Fourth Proportional to 5,542.81, 7,649.02 and 3,024.90

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Solution

The fourth proportional to 5,542.81, 7,649.02 and 3,024.90 is: 4,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.81 : 7,649.02 = 3,024.90 : x
  2. Step 2: Convert to fraction form
    5,542.81/7,649.02 = 3,024.90/x
  3. Step 3: Cross multiply
    5,542.81x = 7,649.02 × 3,024.90
  4. Step 4: Simplify right side
    5,542.81x = 23,137,520.60
  5. Step 5: Solve for x
    x = 23,137,520.60/5,542.81
  6. Step 6: Final answer
    x = 4,174.33

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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.