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Finding the Fourth Proportional to 4,286.72, 6,429.36 and 1,208

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Solution

The fourth proportional to 4,286.72, 6,429.36 and 1,208 is: 1,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.72 : 6,429.36 = 1,208 : x
  2. Step 2: Convert to fraction form
    4,286.72/6,429.36 = 1,208/x
  3. Step 3: Cross multiply
    4,286.72x = 6,429.36 × 1,208
  4. Step 4: Simplify right side
    4,286.72x = 7,766,666.88
  5. Step 5: Solve for x
    x = 7,766,666.88/4,286.72
  6. Step 6: Final answer
    x = 1,811.80

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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.