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Finding the Fourth Proportional to 4,208.66, 6,312.96 and 1,286.96

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Solution

The fourth proportional to 4,208.66, 6,312.96 and 1,286.96 is: 1,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.66 : 6,312.96 = 1,286.96 : x
  2. Step 2: Convert to fraction form
    4,208.66/6,312.96 = 1,286.96/x
  3. Step 3: Cross multiply
    4,208.66x = 6,312.96 × 1,286.96
  4. Step 4: Simplify right side
    4,208.66x = 8,124,495.44
  5. Step 5: Solve for x
    x = 8,124,495.44/4,208.66
  6. Step 6: Final answer
    x = 1,930.42

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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.