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Finding the Fourth Proportional to 3,449.98, 5,173.71 and 1,258.06

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Solution

The fourth proportional to 3,449.98, 5,173.71 and 1,258.06 is: 1,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.98 : 5,173.71 = 1,258.06 : x
  2. Step 2: Convert to fraction form
    3,449.98/5,173.71 = 1,258.06/x
  3. Step 3: Cross multiply
    3,449.98x = 5,173.71 × 1,258.06
  4. Step 4: Simplify right side
    3,449.98x = 6,508,837.60
  5. Step 5: Solve for x
    x = 6,508,837.60/3,449.98
  6. Step 6: Final answer
    x = 1,886.63

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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.