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Finding the Fourth Proportional to 5,286.85, 7,300.75 and 3,958.25

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Solution

The fourth proportional to 5,286.85, 7,300.75 and 3,958.25 is: 5,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.85 : 7,300.75 = 3,958.25 : x
  2. Step 2: Convert to fraction form
    5,286.85/7,300.75 = 3,958.25/x
  3. Step 3: Cross multiply
    5,286.85x = 7,300.75 × 3,958.25
  4. Step 4: Simplify right side
    5,286.85x = 28,898,193.69
  5. Step 5: Solve for x
    x = 28,898,193.69/5,286.85
  6. Step 6: Final answer
    x = 5,466.05

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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.