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Finding the Fourth Proportional to 5,850, 8,772.27 and 1,951.67

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Solution

The fourth proportional to 5,850, 8,772.27 and 1,951.67 is: 2,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 8,772.27 = 1,951.67 : x
  2. Step 2: Convert to fraction form
    5,850/8,772.27 = 1,951.67/x
  3. Step 3: Cross multiply
    5,850x = 8,772.27 × 1,951.67
  4. Step 4: Simplify right side
    5,850x = 17,120,590.80
  5. Step 5: Solve for x
    x = 17,120,590.80/5,850
  6. Step 6: Final answer
    x = 2,926.60

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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.