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Finding the Fourth Proportional to 5,676.62, 7,832.82 and 3,551.90

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Solution

The fourth proportional to 5,676.62, 7,832.82 and 3,551.90 is: 4,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.62 : 7,832.82 = 3,551.90 : x
  2. Step 2: Convert to fraction form
    5,676.62/7,832.82 = 3,551.90/x
  3. Step 3: Cross multiply
    5,676.62x = 7,832.82 × 3,551.90
  4. Step 4: Simplify right side
    5,676.62x = 27,821,393.36
  5. Step 5: Solve for x
    x = 27,821,393.36/5,676.62
  6. Step 6: Final answer
    x = 4,901.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.