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Finding the Fourth Proportional to 6,164.49, 8,504.94 and 3,511.34

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Solution

The fourth proportional to 6,164.49, 8,504.94 and 3,511.34 is: 4,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.49 : 8,504.94 = 3,511.34 : x
  2. Step 2: Convert to fraction form
    6,164.49/8,504.94 = 3,511.34/x
  3. Step 3: Cross multiply
    6,164.49x = 8,504.94 × 3,511.34
  4. Step 4: Simplify right side
    6,164.49x = 29,863,693.49
  5. Step 5: Solve for x
    x = 29,863,693.49/6,164.49
  6. Step 6: Final answer
    x = 4,844.47

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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.