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Finding the Fourth Proportional to 5,194.56, 7,166.66 and 3,069.64

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Solution

The fourth proportional to 5,194.56, 7,166.66 and 3,069.64 is: 4,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.56 : 7,166.66 = 3,069.64 : x
  2. Step 2: Convert to fraction form
    5,194.56/7,166.66 = 3,069.64/x
  3. Step 3: Cross multiply
    5,194.56x = 7,166.66 × 3,069.64
  4. Step 4: Simplify right side
    5,194.56x = 21,999,032.94
  5. Step 5: Solve for x
    x = 21,999,032.94/5,194.56
  6. Step 6: Final answer
    x = 4,235.01

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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.