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Finding the Fourth Proportional to 5,986.50, 8,979.54 and 1,826.34

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Solution

The fourth proportional to 5,986.50, 8,979.54 and 1,826.34 is: 2,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.50 : 8,979.54 = 1,826.34 : x
  2. Step 2: Convert to fraction form
    5,986.50/8,979.54 = 1,826.34/x
  3. Step 3: Cross multiply
    5,986.50x = 8,979.54 × 1,826.34
  4. Step 4: Simplify right side
    5,986.50x = 16,399,693.08
  5. Step 5: Solve for x
    x = 16,399,693.08/5,986.50
  6. Step 6: Final answer
    x = 2,739.45

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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.