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Finding the Fourth Proportional to 4,605.92, 6,899.28 and 3,824

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Solution

The fourth proportional to 4,605.92, 6,899.28 and 3,824 is: 5,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.92 : 6,899.28 = 3,824 : x
  2. Step 2: Convert to fraction form
    4,605.92/6,899.28 = 3,824/x
  3. Step 3: Cross multiply
    4,605.92x = 6,899.28 × 3,824
  4. Step 4: Simplify right side
    4,605.92x = 26,382,846.72
  5. Step 5: Solve for x
    x = 26,382,846.72/4,605.92
  6. Step 6: Final answer
    x = 5,728.03

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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.