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Finding the Fourth Proportional to 5,584.44, 8,378.22 and 4,541.88

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Solution

The fourth proportional to 5,584.44, 8,378.22 and 4,541.88 is: 6,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.44 : 8,378.22 = 4,541.88 : x
  2. Step 2: Convert to fraction form
    5,584.44/8,378.22 = 4,541.88/x
  3. Step 3: Cross multiply
    5,584.44x = 8,378.22 × 4,541.88
  4. Step 4: Simplify right side
    5,584.44x = 38,052,869.85
  5. Step 5: Solve for x
    x = 38,052,869.85/5,584.44
  6. Step 6: Final answer
    x = 6,814.09

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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.