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Finding the Fourth Proportional to 4,634, 6,392.56 and 3,141.44

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Solution

The fourth proportional to 4,634, 6,392.56 and 3,141.44 is: 4,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634 : 6,392.56 = 3,141.44 : x
  2. Step 2: Convert to fraction form
    4,634/6,392.56 = 3,141.44/x
  3. Step 3: Cross multiply
    4,634x = 6,392.56 × 3,141.44
  4. Step 4: Simplify right side
    4,634x = 20,081,843.69
  5. Step 5: Solve for x
    x = 20,081,843.69/4,634
  6. Step 6: Final answer
    x = 4,333.59

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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.