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Finding the Fourth Proportional to 3,941.69, 5,912.47 and 1,019.98

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Solution

The fourth proportional to 3,941.69, 5,912.47 and 1,019.98 is: 1,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.69 : 5,912.47 = 1,019.98 : x
  2. Step 2: Convert to fraction form
    3,941.69/5,912.47 = 1,019.98/x
  3. Step 3: Cross multiply
    3,941.69x = 5,912.47 × 1,019.98
  4. Step 4: Simplify right side
    3,941.69x = 6,030,566.49
  5. Step 5: Solve for x
    x = 6,030,566.49/3,941.69
  6. Step 6: Final answer
    x = 1,529.94

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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.