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Finding the Fourth Proportional to 5,905.92, 8,149.28 and 3,353.28

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Solution

The fourth proportional to 5,905.92, 8,149.28 and 3,353.28 is: 4,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.92 : 8,149.28 = 3,353.28 : x
  2. Step 2: Convert to fraction form
    5,905.92/8,149.28 = 3,353.28/x
  3. Step 3: Cross multiply
    5,905.92x = 8,149.28 × 3,353.28
  4. Step 4: Simplify right side
    5,905.92x = 27,326,817.64
  5. Step 5: Solve for x
    x = 27,326,817.64/5,905.92
  6. Step 6: Final answer
    x = 4,627.02

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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.