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Finding the Fourth Proportional to 4,959.14, 6,842.36 and 3,193.07

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Solution

The fourth proportional to 4,959.14, 6,842.36 and 3,193.07 is: 4,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.14 : 6,842.36 = 3,193.07 : x
  2. Step 2: Convert to fraction form
    4,959.14/6,842.36 = 3,193.07/x
  3. Step 3: Cross multiply
    4,959.14x = 6,842.36 × 3,193.07
  4. Step 4: Simplify right side
    4,959.14x = 21,848,108.22
  5. Step 5: Solve for x
    x = 21,848,108.22/4,959.14
  6. Step 6: Final answer
    x = 4,405.63

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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.