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Finding the Fourth Proportional to 3,963.11, 5,946.68 and 2,015.30

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Solution

The fourth proportional to 3,963.11, 5,946.68 and 2,015.30 is: 3,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.11 : 5,946.68 = 2,015.30 : x
  2. Step 2: Convert to fraction form
    3,963.11/5,946.68 = 2,015.30/x
  3. Step 3: Cross multiply
    3,963.11x = 5,946.68 × 2,015.30
  4. Step 4: Simplify right side
    3,963.11x = 11,984,364.11
  5. Step 5: Solve for x
    x = 11,984,364.11/3,963.11
  6. Step 6: Final answer
    x = 3,023.98

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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.