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Finding the Fourth Proportional to 3,745.84, 5,618.82 and 1,797.61

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Solution

The fourth proportional to 3,745.84, 5,618.82 and 1,797.61 is: 2,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.84 : 5,618.82 = 1,797.61 : x
  2. Step 2: Convert to fraction form
    3,745.84/5,618.82 = 1,797.61/x
  3. Step 3: Cross multiply
    3,745.84x = 5,618.82 × 1,797.61
  4. Step 4: Simplify right side
    3,745.84x = 10,100,447.02
  5. Step 5: Solve for x
    x = 10,100,447.02/3,745.84
  6. Step 6: Final answer
    x = 2,696.44

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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.