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Finding the Fourth Proportional to 5,584.55, 8,369 and 4,197

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Solution

The fourth proportional to 5,584.55, 8,369 and 4,197 is: 6,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.55 : 8,369 = 4,197 : x
  2. Step 2: Convert to fraction form
    5,584.55/8,369 = 4,197/x
  3. Step 3: Cross multiply
    5,584.55x = 8,369 × 4,197
  4. Step 4: Simplify right side
    5,584.55x = 35,124,693
  5. Step 5: Solve for x
    x = 35,124,693/5,584.55
  6. Step 6: Final answer
    x = 6,289.62

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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.