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Finding the Fourth Proportional to 4,954.90, 6,832.11 and 3,959.50

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Solution

The fourth proportional to 4,954.90, 6,832.11 and 3,959.50 is: 5,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.90 : 6,832.11 = 3,959.50 : x
  2. Step 2: Convert to fraction form
    4,954.90/6,832.11 = 3,959.50/x
  3. Step 3: Cross multiply
    4,954.90x = 6,832.11 × 3,959.50
  4. Step 4: Simplify right side
    4,954.90x = 27,051,739.55
  5. Step 5: Solve for x
    x = 27,051,739.55/4,954.90
  6. Step 6: Final answer
    x = 5,459.59

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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.