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Finding the Fourth Proportional to 3,749.56, 5,175.18 and 2,177.56

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Solution

The fourth proportional to 3,749.56, 5,175.18 and 2,177.56 is: 3,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.56 : 5,175.18 = 2,177.56 : x
  2. Step 2: Convert to fraction form
    3,749.56/5,175.18 = 2,177.56/x
  3. Step 3: Cross multiply
    3,749.56x = 5,175.18 × 2,177.56
  4. Step 4: Simplify right side
    3,749.56x = 11,269,264.96
  5. Step 5: Solve for x
    x = 11,269,264.96/3,749.56
  6. Step 6: Final answer
    x = 3,005.49

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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.