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Finding the Fourth Proportional to 5,367.67, 8,050.82 and 2,078.51

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Solution

The fourth proportional to 5,367.67, 8,050.82 and 2,078.51 is: 3,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.67 : 8,050.82 = 2,078.51 : x
  2. Step 2: Convert to fraction form
    5,367.67/8,050.82 = 2,078.51/x
  3. Step 3: Cross multiply
    5,367.67x = 8,050.82 × 2,078.51
  4. Step 4: Simplify right side
    5,367.67x = 16,733,709.88
  5. Step 5: Solve for x
    x = 16,733,709.88/5,367.67
  6. Step 6: Final answer
    x = 3,117.50

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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.