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Finding the Fourth Proportional to 4,812.39, 6,644.16 and 3,930.30

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Solution

The fourth proportional to 4,812.39, 6,644.16 and 3,930.30 is: 5,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.39 : 6,644.16 = 3,930.30 : x
  2. Step 2: Convert to fraction form
    4,812.39/6,644.16 = 3,930.30/x
  3. Step 3: Cross multiply
    4,812.39x = 6,644.16 × 3,930.30
  4. Step 4: Simplify right side
    4,812.39x = 26,113,542.05
  5. Step 5: Solve for x
    x = 26,113,542.05/4,812.39
  6. Step 6: Final answer
    x = 5,426.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.