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Finding the Fourth Proportional to 5,353.38, 7,387.47 and 3,783.60

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Solution

The fourth proportional to 5,353.38, 7,387.47 and 3,783.60 is: 5,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.38 : 7,387.47 = 3,783.60 : x
  2. Step 2: Convert to fraction form
    5,353.38/7,387.47 = 3,783.60/x
  3. Step 3: Cross multiply
    5,353.38x = 7,387.47 × 3,783.60
  4. Step 4: Simplify right side
    5,353.38x = 27,951,231.49
  5. Step 5: Solve for x
    x = 27,951,231.49/5,353.38
  6. Step 6: Final answer
    x = 5,221.23

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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.