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Finding the Fourth Proportional to 5,192.56, 7,166.28 and 3,069.14

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Solution

The fourth proportional to 5,192.56, 7,166.28 and 3,069.14 is: 4,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.56 : 7,166.28 = 3,069.14 : x
  2. Step 2: Convert to fraction form
    5,192.56/7,166.28 = 3,069.14/x
  3. Step 3: Cross multiply
    5,192.56x = 7,166.28 × 3,069.14
  4. Step 4: Simplify right side
    5,192.56x = 21,994,316.60
  5. Step 5: Solve for x
    x = 21,994,316.60/5,192.56
  6. Step 6: Final answer
    x = 4,235.74

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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.