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Finding the Fourth Proportional to 5,412.70, 7,469.63 and 3,054.39

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Solution

The fourth proportional to 5,412.70, 7,469.63 and 3,054.39 is: 4,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.70 : 7,469.63 = 3,054.39 : x
  2. Step 2: Convert to fraction form
    5,412.70/7,469.63 = 3,054.39/x
  3. Step 3: Cross multiply
    5,412.70x = 7,469.63 × 3,054.39
  4. Step 4: Simplify right side
    5,412.70x = 22,815,163.18
  5. Step 5: Solve for x
    x = 22,815,163.18/5,412.70
  6. Step 6: Final answer
    x = 4,215.12

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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.