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Finding the Fourth Proportional to 5,490.75, 7,577.25 and 3,006.75

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Solution

The fourth proportional to 5,490.75, 7,577.25 and 3,006.75 is: 4,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.75 : 7,577.25 = 3,006.75 : x
  2. Step 2: Convert to fraction form
    5,490.75/7,577.25 = 3,006.75/x
  3. Step 3: Cross multiply
    5,490.75x = 7,577.25 × 3,006.75
  4. Step 4: Simplify right side
    5,490.75x = 22,782,896.44
  5. Step 5: Solve for x
    x = 22,782,896.44/5,490.75
  6. Step 6: Final answer
    x = 4,149.32

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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.