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Finding the Fourth Proportional to 4,059.20, 6,054.13 and 3,989

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Solution

The fourth proportional to 4,059.20, 6,054.13 and 3,989 is: 5,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.20 : 6,054.13 = 3,989 : x
  2. Step 2: Convert to fraction form
    4,059.20/6,054.13 = 3,989/x
  3. Step 3: Cross multiply
    4,059.20x = 6,054.13 × 3,989
  4. Step 4: Simplify right side
    4,059.20x = 24,149,924.57
  5. Step 5: Solve for x
    x = 24,149,924.57/4,059.20
  6. Step 6: Final answer
    x = 5,949.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.