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Finding the Fourth Proportional to 4,286.35, 6,430 and 1,363.98

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Solution

The fourth proportional to 4,286.35, 6,430 and 1,363.98 is: 2,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.35 : 6,430 = 1,363.98 : x
  2. Step 2: Convert to fraction form
    4,286.35/6,430 = 1,363.98/x
  3. Step 3: Cross multiply
    4,286.35x = 6,430 × 1,363.98
  4. Step 4: Simplify right side
    4,286.35x = 8,770,359.25
  5. Step 5: Solve for x
    x = 8,770,359.25/4,286.35
  6. Step 6: Final answer
    x = 2,046.11

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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.