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Finding the Fourth Proportional to 6,052.96, 9,072.96 and 3,450.40

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Solution

The fourth proportional to 6,052.96, 9,072.96 and 3,450.40 is: 5,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.96 : 9,072.96 = 3,450.40 : x
  2. Step 2: Convert to fraction form
    6,052.96/9,072.96 = 3,450.40/x
  3. Step 3: Cross multiply
    6,052.96x = 9,072.96 × 3,450.40
  4. Step 4: Simplify right side
    6,052.96x = 31,305,341.18
  5. Step 5: Solve for x
    x = 31,305,341.18/6,052.96
  6. Step 6: Final answer
    x = 5,171.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.