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Finding the Fourth Proportional to 4,674.75, 7,012.26 and 1,212

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Solution

The fourth proportional to 4,674.75, 7,012.26 and 1,212 is: 1,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.75 : 7,012.26 = 1,212 : x
  2. Step 2: Convert to fraction form
    4,674.75/7,012.26 = 1,212/x
  3. Step 3: Cross multiply
    4,674.75x = 7,012.26 × 1,212
  4. Step 4: Simplify right side
    4,674.75x = 8,498,859.12
  5. Step 5: Solve for x
    x = 8,498,859.12/4,674.75
  6. Step 6: Final answer
    x = 1,818.04

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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.