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Finding the Fourth Proportional to 4,855.44, 7,286.10 and 1,735.20

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Solution

The fourth proportional to 4,855.44, 7,286.10 and 1,735.20 is: 2,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.44 : 7,286.10 = 1,735.20 : x
  2. Step 2: Convert to fraction form
    4,855.44/7,286.10 = 1,735.20/x
  3. Step 3: Cross multiply
    4,855.44x = 7,286.10 × 1,735.20
  4. Step 4: Simplify right side
    4,855.44x = 12,642,840.72
  5. Step 5: Solve for x
    x = 12,642,840.72/4,855.44
  6. Step 6: Final answer
    x = 2,603.85

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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.