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Finding the Fourth Proportional to 5,963.94, 8,946 and 2,068.44

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Solution

The fourth proportional to 5,963.94, 8,946 and 2,068.44 is: 3,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.94 : 8,946 = 2,068.44 : x
  2. Step 2: Convert to fraction form
    5,963.94/8,946 = 2,068.44/x
  3. Step 3: Cross multiply
    5,963.94x = 8,946 × 2,068.44
  4. Step 4: Simplify right side
    5,963.94x = 18,504,264.24
  5. Step 5: Solve for x
    x = 18,504,264.24/5,963.94
  6. Step 6: Final answer
    x = 3,102.69

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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.