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Finding the Fourth Proportional to 3,809.88, 5,713.47 and 1,728.14

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Solution

The fourth proportional to 3,809.88, 5,713.47 and 1,728.14 is: 2,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.88 : 5,713.47 = 1,728.14 : x
  2. Step 2: Convert to fraction form
    3,809.88/5,713.47 = 1,728.14/x
  3. Step 3: Cross multiply
    3,809.88x = 5,713.47 × 1,728.14
  4. Step 4: Simplify right side
    3,809.88x = 9,873,647.48
  5. Step 5: Solve for x
    x = 9,873,647.48/3,809.88
  6. Step 6: Final answer
    x = 2,591.59

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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.