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Finding the Fourth Proportional to 4,212.96, 6,318.93 and 1,291.29

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Solution

The fourth proportional to 4,212.96, 6,318.93 and 1,291.29 is: 1,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.96 : 6,318.93 = 1,291.29 : x
  2. Step 2: Convert to fraction form
    4,212.96/6,318.93 = 1,291.29/x
  3. Step 3: Cross multiply
    4,212.96x = 6,318.93 × 1,291.29
  4. Step 4: Simplify right side
    4,212.96x = 8,159,571.12
  5. Step 5: Solve for x
    x = 8,159,571.12/4,212.96
  6. Step 6: Final answer
    x = 1,936.78

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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.