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Finding the Fourth Proportional to 4,006, 5,523.24 and 3,095.92

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Solution

The fourth proportional to 4,006, 5,523.24 and 3,095.92 is: 4,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 5,523.24 = 3,095.92 : x
  2. Step 2: Convert to fraction form
    4,006/5,523.24 = 3,095.92/x
  3. Step 3: Cross multiply
    4,006x = 5,523.24 × 3,095.92
  4. Step 4: Simplify right side
    4,006x = 17,099,509.18
  5. Step 5: Solve for x
    x = 17,099,509.18/4,006
  6. Step 6: Final answer
    x = 4,268.47

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Why These Related Problems?

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