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Finding the Fourth Proportional to 3,629.88, 4,974.35 and 3,279.96

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Solution

The fourth proportional to 3,629.88, 4,974.35 and 3,279.96 is: 4,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.88 : 4,974.35 = 3,279.96 : x
  2. Step 2: Convert to fraction form
    3,629.88/4,974.35 = 3,279.96/x
  3. Step 3: Cross multiply
    3,629.88x = 4,974.35 × 3,279.96
  4. Step 4: Simplify right side
    3,629.88x = 16,315,652.63
  5. Step 5: Solve for x
    x = 16,315,652.63/3,629.88
  6. Step 6: Final answer
    x = 4,494.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.