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Finding the Fourth Proportional to 4,258.97, 6,382.62 and 3,218.12

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Solution

The fourth proportional to 4,258.97, 6,382.62 and 3,218.12 is: 4,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.97 : 6,382.62 = 3,218.12 : x
  2. Step 2: Convert to fraction form
    4,258.97/6,382.62 = 3,218.12/x
  3. Step 3: Cross multiply
    4,258.97x = 6,382.62 × 3,218.12
  4. Step 4: Simplify right side
    4,258.97x = 20,540,005.16
  5. Step 5: Solve for x
    x = 20,540,005.16/4,258.97
  6. Step 6: Final answer
    x = 4,822.77

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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.