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Finding the Fourth Proportional to 3,749.85, 5,624.82 and 976.37

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Solution

The fourth proportional to 3,749.85, 5,624.82 and 976.37 is: 1,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.85 : 5,624.82 = 976.37 : x
  2. Step 2: Convert to fraction form
    3,749.85/5,624.82 = 976.37/x
  3. Step 3: Cross multiply
    3,749.85x = 5,624.82 × 976.37
  4. Step 4: Simplify right side
    3,749.85x = 5,491,877.38
  5. Step 5: Solve for x
    x = 5,491,877.38/3,749.85
  6. Step 6: Final answer
    x = 1,464.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.