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Finding the Fourth Proportional to 4,197.96, 6,292.06 and 3,711.96

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Solution

The fourth proportional to 4,197.96, 6,292.06 and 3,711.96 is: 5,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.96 : 6,292.06 = 3,711.96 : x
  2. Step 2: Convert to fraction form
    4,197.96/6,292.06 = 3,711.96/x
  3. Step 3: Cross multiply
    4,197.96x = 6,292.06 × 3,711.96
  4. Step 4: Simplify right side
    4,197.96x = 23,355,875.04
  5. Step 5: Solve for x
    x = 23,355,875.04/4,197.96
  6. Step 6: Final answer
    x = 5,563.62

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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.