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Finding the Fourth Proportional to 3,693.78, 5,095.89 and 2,295.54

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Solution

The fourth proportional to 3,693.78, 5,095.89 and 2,295.54 is: 3,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.78 : 5,095.89 = 2,295.54 : x
  2. Step 2: Convert to fraction form
    3,693.78/5,095.89 = 2,295.54/x
  3. Step 3: Cross multiply
    3,693.78x = 5,095.89 × 2,295.54
  4. Step 4: Simplify right side
    3,693.78x = 11,697,819.33
  5. Step 5: Solve for x
    x = 11,697,819.33/3,693.78
  6. Step 6: Final answer
    x = 3,166.90

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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.