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Finding the Fourth Proportional to 5,675.77, 8,514.74 and 2,212.75

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Solution

The fourth proportional to 5,675.77, 8,514.74 and 2,212.75 is: 3,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.77 : 8,514.74 = 2,212.75 : x
  2. Step 2: Convert to fraction form
    5,675.77/8,514.74 = 2,212.75/x
  3. Step 3: Cross multiply
    5,675.77x = 8,514.74 × 2,212.75
  4. Step 4: Simplify right side
    5,675.77x = 18,840,990.94
  5. Step 5: Solve for x
    x = 18,840,990.94/5,675.77
  6. Step 6: Final answer
    x = 3,319.55

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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.