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Finding the Fourth Proportional to 5,412.83, 7,469.33 and 3,174.32

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Solution

The fourth proportional to 5,412.83, 7,469.33 and 3,174.32 is: 4,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.83 : 7,469.33 = 3,174.32 : x
  2. Step 2: Convert to fraction form
    5,412.83/7,469.33 = 3,174.32/x
  3. Step 3: Cross multiply
    5,412.83x = 7,469.33 × 3,174.32
  4. Step 4: Simplify right side
    5,412.83x = 23,709,990.39
  5. Step 5: Solve for x
    x = 23,709,990.39/5,412.83
  6. Step 6: Final answer
    x = 4,380.34

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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.