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Finding the Fourth Proportional to 3,305.03, 4,957.54 and 839.85

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Solution

The fourth proportional to 3,305.03, 4,957.54 and 839.85 is: 1,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.03 : 4,957.54 = 839.85 : x
  2. Step 2: Convert to fraction form
    3,305.03/4,957.54 = 839.85/x
  3. Step 3: Cross multiply
    3,305.03x = 4,957.54 × 839.85
  4. Step 4: Simplify right side
    3,305.03x = 4,163,589.97
  5. Step 5: Solve for x
    x = 4,163,589.97/3,305.03
  6. Step 6: Final answer
    x = 1,259.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.