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Finding the Fourth Proportional to 5,465.86, 8,199.85 and 1,767.09

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Solution

The fourth proportional to 5,465.86, 8,199.85 and 1,767.09 is: 2,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.86 : 8,199.85 = 1,767.09 : x
  2. Step 2: Convert to fraction form
    5,465.86/8,199.85 = 1,767.09/x
  3. Step 3: Cross multiply
    5,465.86x = 8,199.85 × 1,767.09
  4. Step 4: Simplify right side
    5,465.86x = 14,489,872.94
  5. Step 5: Solve for x
    x = 14,489,872.94/5,465.86
  6. Step 6: Final answer
    x = 2,650.98

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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.