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Finding the Fourth Proportional to 3,967.63, 5,951.51 and 1,503.61

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Solution

The fourth proportional to 3,967.63, 5,951.51 and 1,503.61 is: 2,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.63 : 5,951.51 = 1,503.61 : x
  2. Step 2: Convert to fraction form
    3,967.63/5,951.51 = 1,503.61/x
  3. Step 3: Cross multiply
    3,967.63x = 5,951.51 × 1,503.61
  4. Step 4: Simplify right side
    3,967.63x = 8,948,749.95
  5. Step 5: Solve for x
    x = 8,948,749.95/3,967.63
  6. Step 6: Final answer
    x = 2,255.44

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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.