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Finding the Fourth Proportional to 5,367.72, 8,051.49 and 1,471.98

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Solution

The fourth proportional to 5,367.72, 8,051.49 and 1,471.98 is: 2,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.72 : 8,051.49 = 1,471.98 : x
  2. Step 2: Convert to fraction form
    5,367.72/8,051.49 = 1,471.98/x
  3. Step 3: Cross multiply
    5,367.72x = 8,051.49 × 1,471.98
  4. Step 4: Simplify right side
    5,367.72x = 11,851,632.25
  5. Step 5: Solve for x
    x = 11,851,632.25/5,367.72
  6. Step 6: Final answer
    x = 2,207.95

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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.