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Finding the Fourth Proportional to 5,495.68, 7,583.77 and 3,105.70

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Solution

The fourth proportional to 5,495.68, 7,583.77 and 3,105.70 is: 4,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.68 : 7,583.77 = 3,105.70 : x
  2. Step 2: Convert to fraction form
    5,495.68/7,583.77 = 3,105.70/x
  3. Step 3: Cross multiply
    5,495.68x = 7,583.77 × 3,105.70
  4. Step 4: Simplify right side
    5,495.68x = 23,552,914.49
  5. Step 5: Solve for x
    x = 23,552,914.49/5,495.68
  6. Step 6: Final answer
    x = 4,285.71

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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.