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Finding the Fourth Proportional to 5,667.45, 8,499.63 and 3,584.32

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Solution

The fourth proportional to 5,667.45, 8,499.63 and 3,584.32 is: 5,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.45 : 8,499.63 = 3,584.32 : x
  2. Step 2: Convert to fraction form
    5,667.45/8,499.63 = 3,584.32/x
  3. Step 3: Cross multiply
    5,667.45x = 8,499.63 × 3,584.32
  4. Step 4: Simplify right side
    5,667.45x = 30,465,393.80
  5. Step 5: Solve for x
    x = 30,465,393.80/5,667.45
  6. Step 6: Final answer
    x = 5,375.50

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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.