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Finding the Fourth Proportional to 3,749.57, 5,175.13 and 2,157.29

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Solution

The fourth proportional to 3,749.57, 5,175.13 and 2,157.29 is: 2,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.57 : 5,175.13 = 2,157.29 : x
  2. Step 2: Convert to fraction form
    3,749.57/5,175.13 = 2,157.29/x
  3. Step 3: Cross multiply
    3,749.57x = 5,175.13 × 2,157.29
  4. Step 4: Simplify right side
    3,749.57x = 11,164,244.34
  5. Step 5: Solve for x
    x = 11,164,244.34/3,749.57
  6. Step 6: Final answer
    x = 2,977.47

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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.