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Finding the Fourth Proportional to 3,968.95, 5,954.46 and 1,503.82

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Solution

The fourth proportional to 3,968.95, 5,954.46 and 1,503.82 is: 2,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.95 : 5,954.46 = 1,503.82 : x
  2. Step 2: Convert to fraction form
    3,968.95/5,954.46 = 1,503.82/x
  3. Step 3: Cross multiply
    3,968.95x = 5,954.46 × 1,503.82
  4. Step 4: Simplify right side
    3,968.95x = 8,954,436.04
  5. Step 5: Solve for x
    x = 8,954,436.04/3,968.95
  6. Step 6: Final answer
    x = 2,256.12

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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.