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Finding the Fourth Proportional to 3,940.62, 5,907.27 and 3,124.14

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Solution

The fourth proportional to 3,940.62, 5,907.27 and 3,124.14 is: 4,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.62 : 5,907.27 = 3,124.14 : x
  2. Step 2: Convert to fraction form
    3,940.62/5,907.27 = 3,124.14/x
  3. Step 3: Cross multiply
    3,940.62x = 5,907.27 × 3,124.14
  4. Step 4: Simplify right side
    3,940.62x = 18,455,138.50
  5. Step 5: Solve for x
    x = 18,455,138.50/3,940.62
  6. Step 6: Final answer
    x = 4,683.31

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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.