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Finding the Fourth Proportional to 3,873.10, 5,345.10 and 2,194.68

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Solution

The fourth proportional to 3,873.10, 5,345.10 and 2,194.68 is: 3,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.10 : 5,345.10 = 2,194.68 : x
  2. Step 2: Convert to fraction form
    3,873.10/5,345.10 = 2,194.68/x
  3. Step 3: Cross multiply
    3,873.10x = 5,345.10 × 2,194.68
  4. Step 4: Simplify right side
    3,873.10x = 11,730,784.07
  5. Step 5: Solve for x
    x = 11,730,784.07/3,873.10
  6. Step 6: Final answer
    x = 3,028.78

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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.