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Finding the Fourth Proportional to 5,999.04, 8,278.47 and 3,346.38

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Solution

The fourth proportional to 5,999.04, 8,278.47 and 3,346.38 is: 4,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.04 : 8,278.47 = 3,346.38 : x
  2. Step 2: Convert to fraction form
    5,999.04/8,278.47 = 3,346.38/x
  3. Step 3: Cross multiply
    5,999.04x = 8,278.47 × 3,346.38
  4. Step 4: Simplify right side
    5,999.04x = 27,702,906.44
  5. Step 5: Solve for x
    x = 27,702,906.44/5,999.04
  6. Step 6: Final answer
    x = 4,617.89

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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.