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Finding the Fourth Proportional to 3,961.40, 5,942.04 and 2,328.30

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Solution

The fourth proportional to 3,961.40, 5,942.04 and 2,328.30 is: 3,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.40 : 5,942.04 = 2,328.30 : x
  2. Step 2: Convert to fraction form
    3,961.40/5,942.04 = 2,328.30/x
  3. Step 3: Cross multiply
    3,961.40x = 5,942.04 × 2,328.30
  4. Step 4: Simplify right side
    3,961.40x = 13,834,851.73
  5. Step 5: Solve for x
    x = 13,834,851.73/3,961.40
  6. Step 6: Final answer
    x = 3,492.41

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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.