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Finding the Fourth Proportional to 3,676.18, 5,541.81 and 3,431.78

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Solution

The fourth proportional to 3,676.18, 5,541.81 and 3,431.78 is: 5,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.18 : 5,541.81 = 3,431.78 : x
  2. Step 2: Convert to fraction form
    3,676.18/5,541.81 = 3,431.78/x
  3. Step 3: Cross multiply
    3,676.18x = 5,541.81 × 3,431.78
  4. Step 4: Simplify right side
    3,676.18x = 19,018,272.72
  5. Step 5: Solve for x
    x = 19,018,272.72/3,676.18
  6. Step 6: Final answer
    x = 5,173.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.