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Finding the Fourth Proportional to 5,957.27, 8,221.51 and 3,304.62

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Solution

The fourth proportional to 5,957.27, 8,221.51 and 3,304.62 is: 4,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.27 : 8,221.51 = 3,304.62 : x
  2. Step 2: Convert to fraction form
    5,957.27/8,221.51 = 3,304.62/x
  3. Step 3: Cross multiply
    5,957.27x = 8,221.51 × 3,304.62
  4. Step 4: Simplify right side
    5,957.27x = 27,168,966.38
  5. Step 5: Solve for x
    x = 27,168,966.38/5,957.27
  6. Step 6: Final answer
    x = 4,560.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.