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Finding the Fourth Proportional to 3,504.77, 5,258.57 and 3,449.49

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Solution

The fourth proportional to 3,504.77, 5,258.57 and 3,449.49 is: 5,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.77 : 5,258.57 = 3,449.49 : x
  2. Step 2: Convert to fraction form
    3,504.77/5,258.57 = 3,449.49/x
  3. Step 3: Cross multiply
    3,504.77x = 5,258.57 × 3,449.49
  4. Step 4: Simplify right side
    3,504.77x = 18,139,367.38
  5. Step 5: Solve for x
    x = 18,139,367.38/3,504.77
  6. Step 6: Final answer
    x = 5,175.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.