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Finding the Fourth Proportional to 5,884.56, 8,826.84 and 2,601

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Solution

The fourth proportional to 5,884.56, 8,826.84 and 2,601 is: 3,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.56 : 8,826.84 = 2,601 : x
  2. Step 2: Convert to fraction form
    5,884.56/8,826.84 = 2,601/x
  3. Step 3: Cross multiply
    5,884.56x = 8,826.84 × 2,601
  4. Step 4: Simplify right side
    5,884.56x = 22,958,610.84
  5. Step 5: Solve for x
    x = 22,958,610.84/5,884.56
  6. Step 6: Final answer
    x = 3,901.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.