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Finding the Fourth Proportional to 3,838.08, 5,755.96 and 1,372.34

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Solution

The fourth proportional to 3,838.08, 5,755.96 and 1,372.34 is: 2,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.08 : 5,755.96 = 1,372.34 : x
  2. Step 2: Convert to fraction form
    3,838.08/5,755.96 = 1,372.34/x
  3. Step 3: Cross multiply
    3,838.08x = 5,755.96 × 1,372.34
  4. Step 4: Simplify right side
    3,838.08x = 7,899,150.25
  5. Step 5: Solve for x
    x = 7,899,150.25/3,838.08
  6. Step 6: Final answer
    x = 2,058.10

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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.