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Finding the Fourth Proportional to 6,476.36, 8,940.78 and 4,589.48

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Solution

The fourth proportional to 6,476.36, 8,940.78 and 4,589.48 is: 6,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.36 : 8,940.78 = 4,589.48 : x
  2. Step 2: Convert to fraction form
    6,476.36/8,940.78 = 4,589.48/x
  3. Step 3: Cross multiply
    6,476.36x = 8,940.78 × 4,589.48
  4. Step 4: Simplify right side
    6,476.36x = 41,033,530.99
  5. Step 5: Solve for x
    x = 41,033,530.99/6,476.36
  6. Step 6: Final answer
    x = 6,335.89

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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.