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Finding the Fourth Proportional to 3,579.85, 4,941.94 and 3,205.32

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Solution

The fourth proportional to 3,579.85, 4,941.94 and 3,205.32 is: 4,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.85 : 4,941.94 = 3,205.32 : x
  2. Step 2: Convert to fraction form
    3,579.85/4,941.94 = 3,205.32/x
  3. Step 3: Cross multiply
    3,579.85x = 4,941.94 × 3,205.32
  4. Step 4: Simplify right side
    3,579.85x = 15,840,497.37
  5. Step 5: Solve for x
    x = 15,840,497.37/3,579.85
  6. Step 6: Final answer
    x = 4,424.91

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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.