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Finding the Fourth Proportional to 6,222.32, 8,584.08 and 4,453.28

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Solution

The fourth proportional to 6,222.32, 8,584.08 and 4,453.28 is: 6,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.32 : 8,584.08 = 4,453.28 : x
  2. Step 2: Convert to fraction form
    6,222.32/8,584.08 = 4,453.28/x
  3. Step 3: Cross multiply
    6,222.32x = 8,584.08 × 4,453.28
  4. Step 4: Simplify right side
    6,222.32x = 38,227,311.78
  5. Step 5: Solve for x
    x = 38,227,311.78/6,222.32
  6. Step 6: Final answer
    x = 6,143.58

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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.