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Finding the Fourth Proportional to 5,957.84, 8,221.16 and 3,304.59

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Solution

The fourth proportional to 5,957.84, 8,221.16 and 3,304.59 is: 4,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.84 : 8,221.16 = 3,304.59 : x
  2. Step 2: Convert to fraction form
    5,957.84/8,221.16 = 3,304.59/x
  3. Step 3: Cross multiply
    5,957.84x = 8,221.16 × 3,304.59
  4. Step 4: Simplify right side
    5,957.84x = 27,167,563.12
  5. Step 5: Solve for x
    x = 27,167,563.12/5,957.84
  6. Step 6: Final answer
    x = 4,559.97

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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.