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Finding the Fourth Proportional to 5,166.56, 7,127.68 and 3,069.60

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Solution

The fourth proportional to 5,166.56, 7,127.68 and 3,069.60 is: 4,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.56 : 7,127.68 = 3,069.60 : x
  2. Step 2: Convert to fraction form
    5,166.56/7,127.68 = 3,069.60/x
  3. Step 3: Cross multiply
    5,166.56x = 7,127.68 × 3,069.60
  4. Step 4: Simplify right side
    5,166.56x = 21,879,126.53
  5. Step 5: Solve for x
    x = 21,879,126.53/5,166.56
  6. Step 6: Final answer
    x = 4,234.76

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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.