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Finding the Fourth Proportional to 5,783.65, 8,676.14 and 2,819.99

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Solution

The fourth proportional to 5,783.65, 8,676.14 and 2,819.99 is: 4,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.65 : 8,676.14 = 2,819.99 : x
  2. Step 2: Convert to fraction form
    5,783.65/8,676.14 = 2,819.99/x
  3. Step 3: Cross multiply
    5,783.65x = 8,676.14 × 2,819.99
  4. Step 4: Simplify right side
    5,783.65x = 24,466,591.71
  5. Step 5: Solve for x
    x = 24,466,591.71/5,783.65
  6. Step 6: Final answer
    x = 4,230.30

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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.