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Finding the Fourth Proportional to 4,596.26, 6,894.38 and 1,961.55

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Solution

The fourth proportional to 4,596.26, 6,894.38 and 1,961.55 is: 2,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.26 : 6,894.38 = 1,961.55 : x
  2. Step 2: Convert to fraction form
    4,596.26/6,894.38 = 1,961.55/x
  3. Step 3: Cross multiply
    4,596.26x = 6,894.38 × 1,961.55
  4. Step 4: Simplify right side
    4,596.26x = 13,523,650.14
  5. Step 5: Solve for x
    x = 13,523,650.14/4,596.26
  6. Step 6: Final answer
    x = 2,942.32

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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.