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Finding the Fourth Proportional to 4,078.56, 5,586.24 and 3,839.19

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Solution

The fourth proportional to 4,078.56, 5,586.24 and 3,839.19 is: 5,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.56 : 5,586.24 = 3,839.19 : x
  2. Step 2: Convert to fraction form
    4,078.56/5,586.24 = 3,839.19/x
  3. Step 3: Cross multiply
    4,078.56x = 5,586.24 × 3,839.19
  4. Step 4: Simplify right side
    4,078.56x = 21,446,636.75
  5. Step 5: Solve for x
    x = 21,446,636.75/4,078.56
  6. Step 6: Final answer
    x = 5,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.