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Finding the Fourth Proportional to 5,784.35, 8,676.97 and 1,889.15

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Solution

The fourth proportional to 5,784.35, 8,676.97 and 1,889.15 is: 2,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.35 : 8,676.97 = 1,889.15 : x
  2. Step 2: Convert to fraction form
    5,784.35/8,676.97 = 1,889.15/x
  3. Step 3: Cross multiply
    5,784.35x = 8,676.97 × 1,889.15
  4. Step 4: Simplify right side
    5,784.35x = 16,392,049.77
  5. Step 5: Solve for x
    x = 16,392,049.77/5,784.35
  6. Step 6: Final answer
    x = 2,833.86

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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.