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Finding the Fourth Proportional to 5,983.71, 8,257.70 and 3,258.42

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Solution

The fourth proportional to 5,983.71, 8,257.70 and 3,258.42 is: 4,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.71 : 8,257.70 = 3,258.42 : x
  2. Step 2: Convert to fraction form
    5,983.71/8,257.70 = 3,258.42/x
  3. Step 3: Cross multiply
    5,983.71x = 8,257.70 × 3,258.42
  4. Step 4: Simplify right side
    5,983.71x = 26,907,054.83
  5. Step 5: Solve for x
    x = 26,907,054.83/5,983.71
  6. Step 6: Final answer
    x = 4,496.72

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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.