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Finding the Fourth Proportional to 5,384.94, 7,431.21 and 3,027.09

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Solution

The fourth proportional to 5,384.94, 7,431.21 and 3,027.09 is: 4,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.94 : 7,431.21 = 3,027.09 : x
  2. Step 2: Convert to fraction form
    5,384.94/7,431.21 = 3,027.09/x
  3. Step 3: Cross multiply
    5,384.94x = 7,431.21 × 3,027.09
  4. Step 4: Simplify right side
    5,384.94x = 22,494,941.48
  5. Step 5: Solve for x
    x = 22,494,941.48/5,384.94
  6. Step 6: Final answer
    x = 4,177.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.