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Finding the Fourth Proportional to 5,783.22, 8,678.03 and 2,821.69

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Solution

The fourth proportional to 5,783.22, 8,678.03 and 2,821.69 is: 4,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.22 : 8,678.03 = 2,821.69 : x
  2. Step 2: Convert to fraction form
    5,783.22/8,678.03 = 2,821.69/x
  3. Step 3: Cross multiply
    5,783.22x = 8,678.03 × 2,821.69
  4. Step 4: Simplify right side
    5,783.22x = 24,486,684.19
  5. Step 5: Solve for x
    x = 24,486,684.19/5,783.22
  6. Step 6: Final answer
    x = 4,234.09

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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.