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Finding the Fourth Proportional to 4,212.54, 6,318.41 and 1,290.87

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Solution

The fourth proportional to 4,212.54, 6,318.41 and 1,290.87 is: 1,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.54 : 6,318.41 = 1,290.87 : x
  2. Step 2: Convert to fraction form
    4,212.54/6,318.41 = 1,290.87/x
  3. Step 3: Cross multiply
    4,212.54x = 6,318.41 × 1,290.87
  4. Step 4: Simplify right side
    4,212.54x = 8,156,239.46
  5. Step 5: Solve for x
    x = 8,156,239.46/4,212.54
  6. Step 6: Final answer
    x = 1,936.18

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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.