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Finding the Fourth Proportional to 5,971.60, 8,951.90 and 3,200.18

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Solution

The fourth proportional to 5,971.60, 8,951.90 and 3,200.18 is: 4,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.60 : 8,951.90 = 3,200.18 : x
  2. Step 2: Convert to fraction form
    5,971.60/8,951.90 = 3,200.18/x
  3. Step 3: Cross multiply
    5,971.60x = 8,951.90 × 3,200.18
  4. Step 4: Simplify right side
    5,971.60x = 28,647,691.34
  5. Step 5: Solve for x
    x = 28,647,691.34/5,971.60
  6. Step 6: Final answer
    x = 4,797.32

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1.5x scale

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.