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Finding the Fourth Proportional to 5,938.31, 8,189.49 and 5,332.33

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Solution

The fourth proportional to 5,938.31, 8,189.49 and 5,332.33 is: 7,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.31 : 8,189.49 = 5,332.33 : x
  2. Step 2: Convert to fraction form
    5,938.31/8,189.49 = 5,332.33/x
  3. Step 3: Cross multiply
    5,938.31x = 8,189.49 × 5,332.33
  4. Step 4: Simplify right side
    5,938.31x = 43,668,995.60
  5. Step 5: Solve for x
    x = 43,668,995.60/5,938.31
  6. Step 6: Final answer
    x = 7,353.78

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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.