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Finding the Fourth Proportional to 5,194.63, 7,169.00 and 2,956.60

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Solution

The fourth proportional to 5,194.63, 7,169.00 and 2,956.60 is: 4,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.63 : 7,169.00 = 2,956.60 : x
  2. Step 2: Convert to fraction form
    5,194.63/7,169.00 = 2,956.60/x
  3. Step 3: Cross multiply
    5,194.63x = 7,169.00 × 2,956.60
  4. Step 4: Simplify right side
    5,194.63x = 21,195,832.69
  5. Step 5: Solve for x
    x = 21,195,832.69/5,194.63
  6. Step 6: Final answer
    x = 4,080.34

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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.