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Finding the Fourth Proportional to 5,946, 8,912.04 and 2,046.96

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Solution

The fourth proportional to 5,946, 8,912.04 and 2,046.96 is: 3,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946 : 8,912.04 = 2,046.96 : x
  2. Step 2: Convert to fraction form
    5,946/8,912.04 = 2,046.96/x
  3. Step 3: Cross multiply
    5,946x = 8,912.04 × 2,046.96
  4. Step 4: Simplify right side
    5,946x = 18,242,589.40
  5. Step 5: Solve for x
    x = 18,242,589.40/5,946
  6. Step 6: Final answer
    x = 3,068.04

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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.