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Finding the Fourth Proportional to 5,839.31, 8,059.35 and 3,657.49

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Solution

The fourth proportional to 5,839.31, 8,059.35 and 3,657.49 is: 5,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.31 : 8,059.35 = 3,657.49 : x
  2. Step 2: Convert to fraction form
    5,839.31/8,059.35 = 3,657.49/x
  3. Step 3: Cross multiply
    5,839.31x = 8,059.35 × 3,657.49
  4. Step 4: Simplify right side
    5,839.31x = 29,476,971.88
  5. Step 5: Solve for x
    x = 29,476,971.88/5,839.31
  6. Step 6: Final answer
    x = 5,048.02

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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.