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Finding the Fourth Proportional to 5,399.40, 8,093.02 and 4,097

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Solution

The fourth proportional to 5,399.40, 8,093.02 and 4,097 is: 6,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.40 : 8,093.02 = 4,097 : x
  2. Step 2: Convert to fraction form
    5,399.40/8,093.02 = 4,097/x
  3. Step 3: Cross multiply
    5,399.40x = 8,093.02 × 4,097
  4. Step 4: Simplify right side
    5,399.40x = 33,157,102.94
  5. Step 5: Solve for x
    x = 33,157,102.94/5,399.40
  6. Step 6: Final answer
    x = 6,140.89

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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.