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Finding the Fourth Proportional to 4,472.24, 6,172 and 2,584.16

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Solution

The fourth proportional to 4,472.24, 6,172 and 2,584.16 is: 3,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.24 : 6,172 = 2,584.16 : x
  2. Step 2: Convert to fraction form
    4,472.24/6,172 = 2,584.16/x
  3. Step 3: Cross multiply
    4,472.24x = 6,172 × 2,584.16
  4. Step 4: Simplify right side
    4,472.24x = 15,949,435.52
  5. Step 5: Solve for x
    x = 15,949,435.52/4,472.24
  6. Step 6: Final answer
    x = 3,566.32

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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.