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Finding the Fourth Proportional to 3,258.74, 4,883.25 and 1,309.88

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Solution

The fourth proportional to 3,258.74, 4,883.25 and 1,309.88 is: 1,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.74 : 4,883.25 = 1,309.88 : x
  2. Step 2: Convert to fraction form
    3,258.74/4,883.25 = 1,309.88/x
  3. Step 3: Cross multiply
    3,258.74x = 4,883.25 × 1,309.88
  4. Step 4: Simplify right side
    3,258.74x = 6,396,471.51
  5. Step 5: Solve for x
    x = 6,396,471.51/3,258.74
  6. Step 6: Final answer
    x = 1,962.87

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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.