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Finding the Fourth Proportional to 5,952.90, 8,212.26 and 4,185.54

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Solution

The fourth proportional to 5,952.90, 8,212.26 and 4,185.54 is: 5,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.90 : 8,212.26 = 4,185.54 : x
  2. Step 2: Convert to fraction form
    5,952.90/8,212.26 = 4,185.54/x
  3. Step 3: Cross multiply
    5,952.90x = 8,212.26 × 4,185.54
  4. Step 4: Simplify right side
    5,952.90x = 34,372,742.72
  5. Step 5: Solve for x
    x = 34,372,742.72/5,952.90
  6. Step 6: Final answer
    x = 5,774.12

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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.