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Finding the Fourth Proportional to 5,679.45, 7,837.34 and 3,289.01

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Solution

The fourth proportional to 5,679.45, 7,837.34 and 3,289.01 is: 4,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.45 : 7,837.34 = 3,289.01 : x
  2. Step 2: Convert to fraction form
    5,679.45/7,837.34 = 3,289.01/x
  3. Step 3: Cross multiply
    5,679.45x = 7,837.34 × 3,289.01
  4. Step 4: Simplify right side
    5,679.45x = 25,777,034.00
  5. Step 5: Solve for x
    x = 25,777,034.00/5,679.45
  6. Step 6: Final answer
    x = 4,538.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.