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Finding the Fourth Proportional to 3,880.41, 5,821.22 and 1,283.95

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Solution

The fourth proportional to 3,880.41, 5,821.22 and 1,283.95 is: 1,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.41 : 5,821.22 = 1,283.95 : x
  2. Step 2: Convert to fraction form
    3,880.41/5,821.22 = 1,283.95/x
  3. Step 3: Cross multiply
    3,880.41x = 5,821.22 × 1,283.95
  4. Step 4: Simplify right side
    3,880.41x = 7,474,161.09
  5. Step 5: Solve for x
    x = 7,474,161.09/3,880.41
  6. Step 6: Final answer
    x = 1,926.13

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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.