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Finding the Fourth Proportional to 4,258.81, 6,388.26 and 1,627.48

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Solution

The fourth proportional to 4,258.81, 6,388.26 and 1,627.48 is: 2,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.81 : 6,388.26 = 1,627.48 : x
  2. Step 2: Convert to fraction form
    4,258.81/6,388.26 = 1,627.48/x
  3. Step 3: Cross multiply
    4,258.81x = 6,388.26 × 1,627.48
  4. Step 4: Simplify right side
    4,258.81x = 10,396,765.38
  5. Step 5: Solve for x
    x = 10,396,765.38/4,258.81
  6. Step 6: Final answer
    x = 2,441.24

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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.