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Finding the Fourth Proportional to 4,286.54, 6,425.54 and 2,433.81

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Solution

The fourth proportional to 4,286.54, 6,425.54 and 2,433.81 is: 3,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.54 : 6,425.54 = 2,433.81 : x
  2. Step 2: Convert to fraction form
    4,286.54/6,425.54 = 2,433.81/x
  3. Step 3: Cross multiply
    4,286.54x = 6,425.54 × 2,433.81
  4. Step 4: Simplify right side
    4,286.54x = 15,638,578.25
  5. Step 5: Solve for x
    x = 15,638,578.25/4,286.54
  6. Step 6: Final answer
    x = 3,648.30

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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.