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Finding the Fourth Proportional to 3,402.56, 5,069.64 and 3,179.04

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Solution

The fourth proportional to 3,402.56, 5,069.64 and 3,179.04 is: 4,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.56 : 5,069.64 = 3,179.04 : x
  2. Step 2: Convert to fraction form
    3,402.56/5,069.64 = 3,179.04/x
  3. Step 3: Cross multiply
    3,402.56x = 5,069.64 × 3,179.04
  4. Step 4: Simplify right side
    3,402.56x = 16,116,588.35
  5. Step 5: Solve for x
    x = 16,116,588.35/3,402.56
  6. Step 6: Final answer
    x = 4,736.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.