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Finding the Fourth Proportional to 5,406.82, 7,460.22 and 3,167.56

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Solution

The fourth proportional to 5,406.82, 7,460.22 and 3,167.56 is: 4,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.82 : 7,460.22 = 3,167.56 : x
  2. Step 2: Convert to fraction form
    5,406.82/7,460.22 = 3,167.56/x
  3. Step 3: Cross multiply
    5,406.82x = 7,460.22 × 3,167.56
  4. Step 4: Simplify right side
    5,406.82x = 23,630,694.46
  5. Step 5: Solve for x
    x = 23,630,694.46/5,406.82
  6. Step 6: Final answer
    x = 4,370.53

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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.