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Finding the Fourth Proportional to 6,045.72, 9,072.24 and 3,855.24

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Solution

The fourth proportional to 6,045.72, 9,072.24 and 3,855.24 is: 5,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.72 : 9,072.24 = 3,855.24 : x
  2. Step 2: Convert to fraction form
    6,045.72/9,072.24 = 3,855.24/x
  3. Step 3: Cross multiply
    6,045.72x = 9,072.24 × 3,855.24
  4. Step 4: Simplify right side
    6,045.72x = 34,975,662.54
  5. Step 5: Solve for x
    x = 34,975,662.54/6,045.72
  6. Step 6: Final answer
    x = 5,785.19

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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.