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Finding the Fourth Proportional to 5,930.14, 8,184.41 and 3,412.20

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Solution

The fourth proportional to 5,930.14, 8,184.41 and 3,412.20 is: 4,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.14 : 8,184.41 = 3,412.20 : x
  2. Step 2: Convert to fraction form
    5,930.14/8,184.41 = 3,412.20/x
  3. Step 3: Cross multiply
    5,930.14x = 8,184.41 × 3,412.20
  4. Step 4: Simplify right side
    5,930.14x = 27,926,852.33
  5. Step 5: Solve for x
    x = 27,926,852.33/5,930.14
  6. Step 6: Final answer
    x = 4,709.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.