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Finding the Fourth Proportional to 3,460.37, 5,190.48 and 863.31

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Solution

The fourth proportional to 3,460.37, 5,190.48 and 863.31 is: 1,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.37 : 5,190.48 = 863.31 : x
  2. Step 2: Convert to fraction form
    3,460.37/5,190.48 = 863.31/x
  3. Step 3: Cross multiply
    3,460.37x = 5,190.48 × 863.31
  4. Step 4: Simplify right side
    3,460.37x = 4,480,993.29
  5. Step 5: Solve for x
    x = 4,480,993.29/3,460.37
  6. Step 6: Final answer
    x = 1,294.95

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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.