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Finding the Fourth Proportional to 5,676.98, 7,834.41 and 3,551.83

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Solution

The fourth proportional to 5,676.98, 7,834.41 and 3,551.83 is: 4,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.98 : 7,834.41 = 3,551.83 : x
  2. Step 2: Convert to fraction form
    5,676.98/7,834.41 = 3,551.83/x
  3. Step 3: Cross multiply
    5,676.98x = 7,834.41 × 3,551.83
  4. Step 4: Simplify right side
    5,676.98x = 27,826,472.88
  5. Step 5: Solve for x
    x = 27,826,472.88/5,676.98
  6. Step 6: Final answer
    x = 4,901.64

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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.