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Finding the Fourth Proportional to 3,774.69, 5,214.06 and 3,147.27

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Solution

The fourth proportional to 3,774.69, 5,214.06 and 3,147.27 is: 4,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.69 : 5,214.06 = 3,147.27 : x
  2. Step 2: Convert to fraction form
    3,774.69/5,214.06 = 3,147.27/x
  3. Step 3: Cross multiply
    3,774.69x = 5,214.06 × 3,147.27
  4. Step 4: Simplify right side
    3,774.69x = 16,410,054.62
  5. Step 5: Solve for x
    x = 16,410,054.62/3,774.69
  6. Step 6: Final answer
    x = 4,347.39

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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.