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Finding the Fourth Proportional to 6,296.82, 8,684.73 and 4,059.06

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Solution

The fourth proportional to 6,296.82, 8,684.73 and 4,059.06 is: 5,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.82 : 8,684.73 = 4,059.06 : x
  2. Step 2: Convert to fraction form
    6,296.82/8,684.73 = 4,059.06/x
  3. Step 3: Cross multiply
    6,296.82x = 8,684.73 × 4,059.06
  4. Step 4: Simplify right side
    6,296.82x = 35,251,840.15
  5. Step 5: Solve for x
    x = 35,251,840.15/6,296.82
  6. Step 6: Final answer
    x = 5,598.36

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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.