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Finding the Fourth Proportional to 5,957.20, 8,220.92 and 3,305

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Solution

The fourth proportional to 5,957.20, 8,220.92 and 3,305 is: 4,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.20 : 8,220.92 = 3,305 : x
  2. Step 2: Convert to fraction form
    5,957.20/8,220.92 = 3,305/x
  3. Step 3: Cross multiply
    5,957.20x = 8,220.92 × 3,305
  4. Step 4: Simplify right side
    5,957.20x = 27,170,124.08
  5. Step 5: Solve for x
    x = 27,170,124.08/5,957.20
  6. Step 6: Final answer
    x = 4,560.89

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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.