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Finding the Fourth Proportional to 3,694.86, 5,097.40 and 2,258.49

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Solution

The fourth proportional to 3,694.86, 5,097.40 and 2,258.49 is: 3,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.86 : 5,097.40 = 2,258.49 : x
  2. Step 2: Convert to fraction form
    3,694.86/5,097.40 = 2,258.49/x
  3. Step 3: Cross multiply
    3,694.86x = 5,097.40 × 2,258.49
  4. Step 4: Simplify right side
    3,694.86x = 11,512,426.93
  5. Step 5: Solve for x
    x = 11,512,426.93/3,694.86
  6. Step 6: Final answer
    x = 3,115.80

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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.