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Finding the Fourth Proportional to 4,133.40, 5,704.17 and 3,946.44

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Solution

The fourth proportional to 4,133.40, 5,704.17 and 3,946.44 is: 5,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.40 : 5,704.17 = 3,946.44 : x
  2. Step 2: Convert to fraction form
    4,133.40/5,704.17 = 3,946.44/x
  3. Step 3: Cross multiply
    4,133.40x = 5,704.17 × 3,946.44
  4. Step 4: Simplify right side
    4,133.40x = 22,511,164.65
  5. Step 5: Solve for x
    x = 22,511,164.65/4,133.40
  6. Step 6: Final answer
    x = 5,446.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.