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Finding the Fourth Proportional to 5,258.83, 7,257.69 and 3,930.23

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Solution

The fourth proportional to 5,258.83, 7,257.69 and 3,930.23 is: 5,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.83 : 7,257.69 = 3,930.23 : x
  2. Step 2: Convert to fraction form
    5,258.83/7,257.69 = 3,930.23/x
  3. Step 3: Cross multiply
    5,258.83x = 7,257.69 × 3,930.23
  4. Step 4: Simplify right side
    5,258.83x = 28,524,354.68
  5. Step 5: Solve for x
    x = 28,524,354.68/5,258.83
  6. Step 6: Final answer
    x = 5,424.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.