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Finding the Fourth Proportional to 5,951.60, 8,214.08 and 3,433.22

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Solution

The fourth proportional to 5,951.60, 8,214.08 and 3,433.22 is: 4,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.60 : 8,214.08 = 3,433.22 : x
  2. Step 2: Convert to fraction form
    5,951.60/8,214.08 = 3,433.22/x
  3. Step 3: Cross multiply
    5,951.60x = 8,214.08 × 3,433.22
  4. Step 4: Simplify right side
    5,951.60x = 28,200,685.50
  5. Step 5: Solve for x
    x = 28,200,685.50/5,951.60
  6. Step 6: Final answer
    x = 4,738.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.