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Finding the Fourth Proportional to 5,840.50, 8,769.64 and 5,651.19

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Solution

The fourth proportional to 5,840.50, 8,769.64 and 5,651.19 is: 8,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.50 : 8,769.64 = 5,651.19 : x
  2. Step 2: Convert to fraction form
    5,840.50/8,769.64 = 5,651.19/x
  3. Step 3: Cross multiply
    5,840.50x = 8,769.64 × 5,651.19
  4. Step 4: Simplify right side
    5,840.50x = 49,558,843.90
  5. Step 5: Solve for x
    x = 49,558,843.90/5,840.50
  6. Step 6: Final answer
    x = 8,485.38

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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.