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Finding the Fourth Proportional to 5,679.83, 7,837.85 and 3,289.38

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Solution

The fourth proportional to 5,679.83, 7,837.85 and 3,289.38 is: 4,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.83 : 7,837.85 = 3,289.38 : x
  2. Step 2: Convert to fraction form
    5,679.83/7,837.85 = 3,289.38/x
  3. Step 3: Cross multiply
    5,679.83x = 7,837.85 × 3,289.38
  4. Step 4: Simplify right side
    5,679.83x = 25,781,667.03
  5. Step 5: Solve for x
    x = 25,781,667.03/5,679.83
  6. Step 6: Final answer
    x = 4,539.16

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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.