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Finding the Fourth Proportional to 4,745.34, 6,546.86 and 2,855.46

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Solution

The fourth proportional to 4,745.34, 6,546.86 and 2,855.46 is: 3,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.34 : 6,546.86 = 2,855.46 : x
  2. Step 2: Convert to fraction form
    4,745.34/6,546.86 = 2,855.46/x
  3. Step 3: Cross multiply
    4,745.34x = 6,546.86 × 2,855.46
  4. Step 4: Simplify right side
    4,745.34x = 18,694,296.86
  5. Step 5: Solve for x
    x = 18,694,296.86/4,745.34
  6. Step 6: Final answer
    x = 3,939.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.