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Finding the Fourth Proportional to 3,449.81, 5,175.94 and 1,258.76

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Solution

The fourth proportional to 3,449.81, 5,175.94 and 1,258.76 is: 1,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.81 : 5,175.94 = 1,258.76 : x
  2. Step 2: Convert to fraction form
    3,449.81/5,175.94 = 1,258.76/x
  3. Step 3: Cross multiply
    3,449.81x = 5,175.94 × 1,258.76
  4. Step 4: Simplify right side
    3,449.81x = 6,515,276.03
  5. Step 5: Solve for x
    x = 6,515,276.03/3,449.81
  6. Step 6: Final answer
    x = 1,888.59

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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.