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Finding the Fourth Proportional to 4,212.72, 6,317 and 1,290.32

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Solution

The fourth proportional to 4,212.72, 6,317 and 1,290.32 is: 1,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.72 : 6,317 = 1,290.32 : x
  2. Step 2: Convert to fraction form
    4,212.72/6,317 = 1,290.32/x
  3. Step 3: Cross multiply
    4,212.72x = 6,317 × 1,290.32
  4. Step 4: Simplify right side
    4,212.72x = 8,150,951.44
  5. Step 5: Solve for x
    x = 8,150,951.44/4,212.72
  6. Step 6: Final answer
    x = 1,934.84

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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.