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Finding the Fourth Proportional to 5,957.69, 8,221.50 and 3,305.04

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Solution

The fourth proportional to 5,957.69, 8,221.50 and 3,305.04 is: 4,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.69 : 8,221.50 = 3,305.04 : x
  2. Step 2: Convert to fraction form
    5,957.69/8,221.50 = 3,305.04/x
  3. Step 3: Cross multiply
    5,957.69x = 8,221.50 × 3,305.04
  4. Step 4: Simplify right side
    5,957.69x = 27,172,355.53
  5. Step 5: Solve for x
    x = 27,172,355.53/5,957.69
  6. Step 6: Final answer
    x = 4,560.89

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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.