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Finding the Fourth Proportional to 4,494.79, 6,745.07 and 2,185.03

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Solution

The fourth proportional to 4,494.79, 6,745.07 and 2,185.03 is: 3,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.79 : 6,745.07 = 2,185.03 : x
  2. Step 2: Convert to fraction form
    4,494.79/6,745.07 = 2,185.03/x
  3. Step 3: Cross multiply
    4,494.79x = 6,745.07 × 2,185.03
  4. Step 4: Simplify right side
    4,494.79x = 14,738,180.30
  5. Step 5: Solve for x
    x = 14,738,180.30/4,494.79
  6. Step 6: Final answer
    x = 3,278.95

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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.