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Finding the Fourth Proportional to 3,577.59, 5,367.54 and 1,728.90

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Solution

The fourth proportional to 3,577.59, 5,367.54 and 1,728.90 is: 2,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.59 : 5,367.54 = 1,728.90 : x
  2. Step 2: Convert to fraction form
    3,577.59/5,367.54 = 1,728.90/x
  3. Step 3: Cross multiply
    3,577.59x = 5,367.54 × 1,728.90
  4. Step 4: Simplify right side
    3,577.59x = 9,279,939.91
  5. Step 5: Solve for x
    x = 9,279,939.91/3,577.59
  6. Step 6: Final answer
    x = 2,593.91

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1.5x scale

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.