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Finding the Fourth Proportional to 5,836.96, 8,054.94 and 3,184.31

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Solution

The fourth proportional to 5,836.96, 8,054.94 and 3,184.31 is: 4,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.96 : 8,054.94 = 3,184.31 : x
  2. Step 2: Convert to fraction form
    5,836.96/8,054.94 = 3,184.31/x
  3. Step 3: Cross multiply
    5,836.96x = 8,054.94 × 3,184.31
  4. Step 4: Simplify right side
    5,836.96x = 25,649,458.07
  5. Step 5: Solve for x
    x = 25,649,458.07/5,836.96
  6. Step 6: Final answer
    x = 4,394.32

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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.