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Finding the Fourth Proportional to 3,749.52, 5,174.57 and 2,156.67

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Solution

The fourth proportional to 3,749.52, 5,174.57 and 2,156.67 is: 2,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.52 : 5,174.57 = 2,156.67 : x
  2. Step 2: Convert to fraction form
    3,749.52/5,174.57 = 2,156.67/x
  3. Step 3: Cross multiply
    3,749.52x = 5,174.57 × 2,156.67
  4. Step 4: Simplify right side
    3,749.52x = 11,159,839.88
  5. Step 5: Solve for x
    x = 11,159,839.88/3,749.52
  6. Step 6: Final answer
    x = 2,976.34

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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.