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Finding the Fourth Proportional to 8,538.44, 12,801.60 and 3,269.00

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Solution

The fourth proportional to 8,538.44, 12,801.60 and 3,269.00 is: 4,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.44 : 12,801.60 = 3,269.00 : x
  2. Step 2: Convert to fraction form
    8,538.44/12,801.60 = 3,269.00/x
  3. Step 3: Cross multiply
    8,538.44x = 12,801.60 × 3,269.00
  4. Step 4: Simplify right side
    8,538.44x = 41,848,462.40
  5. Step 5: Solve for x
    x = 41,848,462.40/8,538.44
  6. Step 6: Final answer
    x = 4,901.19

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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.