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Finding the Fourth Proportional to 5,594.70, 8,375.86 and 4,213.86

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Solution

The fourth proportional to 5,594.70, 8,375.86 and 4,213.86 is: 6,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.70 : 8,375.86 = 4,213.86 : x
  2. Step 2: Convert to fraction form
    5,594.70/8,375.86 = 4,213.86/x
  3. Step 3: Cross multiply
    5,594.70x = 8,375.86 × 4,213.86
  4. Step 4: Simplify right side
    5,594.70x = 35,294,651.57
  5. Step 5: Solve for x
    x = 35,294,651.57/5,594.70
  6. Step 6: Final answer
    x = 6,308.58

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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.