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Finding the Fourth Proportional to 3,880.91, 5,819.24 and 3,056.74

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Solution

The fourth proportional to 3,880.91, 5,819.24 and 3,056.74 is: 4,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.91 : 5,819.24 = 3,056.74 : x
  2. Step 2: Convert to fraction form
    3,880.91/5,819.24 = 3,056.74/x
  3. Step 3: Cross multiply
    3,880.91x = 5,819.24 × 3,056.74
  4. Step 4: Simplify right side
    3,880.91x = 17,787,896.77
  5. Step 5: Solve for x
    x = 17,787,896.77/3,880.91
  6. Step 6: Final answer
    x = 4,583.43

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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.