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Finding the Fourth Proportional to 3,954.90, 5,930.40 and 2,311.94

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Solution

The fourth proportional to 3,954.90, 5,930.40 and 2,311.94 is: 3,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.90 : 5,930.40 = 2,311.94 : x
  2. Step 2: Convert to fraction form
    3,954.90/5,930.40 = 2,311.94/x
  3. Step 3: Cross multiply
    3,954.90x = 5,930.40 × 2,311.94
  4. Step 4: Simplify right side
    3,954.90x = 13,710,728.98
  5. Step 5: Solve for x
    x = 13,710,728.98/3,954.90
  6. Step 6: Final answer
    x = 3,466.77

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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.