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Finding the Fourth Proportional to 6,133.74, 8,464.74 and 3,481.26

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Solution

The fourth proportional to 6,133.74, 8,464.74 and 3,481.26 is: 4,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.74 : 8,464.74 = 3,481.26 : x
  2. Step 2: Convert to fraction form
    6,133.74/8,464.74 = 3,481.26/x
  3. Step 3: Cross multiply
    6,133.74x = 8,464.74 × 3,481.26
  4. Step 4: Simplify right side
    6,133.74x = 29,467,960.77
  5. Step 5: Solve for x
    x = 29,467,960.77/6,133.74
  6. Step 6: Final answer
    x = 4,804.24

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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.