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Finding the Fourth Proportional to 3,811.50, 5,717.25 and 1,503

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Solution

The fourth proportional to 3,811.50, 5,717.25 and 1,503 is: 2,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.50 : 5,717.25 = 1,503 : x
  2. Step 2: Convert to fraction form
    3,811.50/5,717.25 = 1,503/x
  3. Step 3: Cross multiply
    3,811.50x = 5,717.25 × 1,503
  4. Step 4: Simplify right side
    3,811.50x = 8,593,026.75
  5. Step 5: Solve for x
    x = 8,593,026.75/3,811.50
  6. Step 6: Final answer
    x = 2,254.50

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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.