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Finding the Fourth Proportional to 5,696.15, 8,537.74 and 2,767.73

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Solution

The fourth proportional to 5,696.15, 8,537.74 and 2,767.73 is: 4,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.15 : 8,537.74 = 2,767.73 : x
  2. Step 2: Convert to fraction form
    5,696.15/8,537.74 = 2,767.73/x
  3. Step 3: Cross multiply
    5,696.15x = 8,537.74 × 2,767.73
  4. Step 4: Simplify right side
    5,696.15x = 23,630,109.52
  5. Step 5: Solve for x
    x = 23,630,109.52/5,696.15
  6. Step 6: Final answer
    x = 4,148.44

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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.