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Finding the Fourth Proportional to 3,677.84, 5,517.52 and 1,728.80

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Solution

The fourth proportional to 3,677.84, 5,517.52 and 1,728.80 is: 2,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.84 : 5,517.52 = 1,728.80 : x
  2. Step 2: Convert to fraction form
    3,677.84/5,517.52 = 1,728.80/x
  3. Step 3: Cross multiply
    3,677.84x = 5,517.52 × 1,728.80
  4. Step 4: Simplify right side
    3,677.84x = 9,538,688.58
  5. Step 5: Solve for x
    x = 9,538,688.58/3,677.84
  6. Step 6: Final answer
    x = 2,593.56

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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.