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Finding the Fourth Proportional to 5,836.89, 8,054.94 and 3,184.31

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Solution

The fourth proportional to 5,836.89, 8,054.94 and 3,184.31 is: 4,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.89 : 8,054.94 = 3,184.31 : x
  2. Step 2: Convert to fraction form
    5,836.89/8,054.94 = 3,184.31/x
  3. Step 3: Cross multiply
    5,836.89x = 8,054.94 × 3,184.31
  4. Step 4: Simplify right side
    5,836.89x = 25,649,425.99
  5. Step 5: Solve for x
    x = 25,649,425.99/5,836.89
  6. Step 6: Final answer
    x = 4,394.37

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1.5x scale

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.