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Finding the Fourth Proportional to 4,265.63, 6,396.21 and 1,923.62

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Solution

The fourth proportional to 4,265.63, 6,396.21 and 1,923.62 is: 2,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.63 : 6,396.21 = 1,923.62 : x
  2. Step 2: Convert to fraction form
    4,265.63/6,396.21 = 1,923.62/x
  3. Step 3: Cross multiply
    4,265.63x = 6,396.21 × 1,923.62
  4. Step 4: Simplify right side
    4,265.63x = 12,303,845.50
  5. Step 5: Solve for x
    x = 12,303,845.50/4,265.63
  6. Step 6: Final answer
    x = 2,884.42

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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.