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Finding the Fourth Proportional to 5,651, 7,798.42 and 3,167

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Solution

The fourth proportional to 5,651, 7,798.42 and 3,167 is: 4,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651 : 7,798.42 = 3,167 : x
  2. Step 2: Convert to fraction form
    5,651/7,798.42 = 3,167/x
  3. Step 3: Cross multiply
    5,651x = 7,798.42 × 3,167
  4. Step 4: Simplify right side
    5,651x = 24,697,596.14
  5. Step 5: Solve for x
    x = 24,697,596.14/5,651
  6. Step 6: Final answer
    x = 4,370.48

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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.