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Finding the Fourth Proportional to 3,205.80, 4,785.53 and 2,965.32

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Solution

The fourth proportional to 3,205.80, 4,785.53 and 2,965.32 is: 4,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.80 : 4,785.53 = 2,965.32 : x
  2. Step 2: Convert to fraction form
    3,205.80/4,785.53 = 2,965.32/x
  3. Step 3: Cross multiply
    3,205.80x = 4,785.53 × 2,965.32
  4. Step 4: Simplify right side
    3,205.80x = 14,190,612.99
  5. Step 5: Solve for x
    x = 14,190,612.99/3,205.80
  6. Step 6: Final answer
    x = 4,426.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.