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Finding the Fourth Proportional to 5,367.50, 8,051.94 and 1,904.78

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Solution

The fourth proportional to 5,367.50, 8,051.94 and 1,904.78 is: 2,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.50 : 8,051.94 = 1,904.78 : x
  2. Step 2: Convert to fraction form
    5,367.50/8,051.94 = 1,904.78/x
  3. Step 3: Cross multiply
    5,367.50x = 8,051.94 × 1,904.78
  4. Step 4: Simplify right side
    5,367.50x = 15,337,174.27
  5. Step 5: Solve for x
    x = 15,337,174.27/5,367.50
  6. Step 6: Final answer
    x = 2,857.41

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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.