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Finding the Fourth Proportional to 4,141.83, 6,208.04 and 2,164.41

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Solution

The fourth proportional to 4,141.83, 6,208.04 and 2,164.41 is: 3,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.83 : 6,208.04 = 2,164.41 : x
  2. Step 2: Convert to fraction form
    4,141.83/6,208.04 = 2,164.41/x
  3. Step 3: Cross multiply
    4,141.83x = 6,208.04 × 2,164.41
  4. Step 4: Simplify right side
    4,141.83x = 13,436,733.03
  5. Step 5: Solve for x
    x = 13,436,733.03/4,141.83
  6. Step 6: Final answer
    x = 3,244.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.