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Finding the Fourth Proportional to 5,538.50, 8,297.09 and 4,362.28

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Solution

The fourth proportional to 5,538.50, 8,297.09 and 4,362.28 is: 6,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.50 : 8,297.09 = 4,362.28 : x
  2. Step 2: Convert to fraction form
    5,538.50/8,297.09 = 4,362.28/x
  3. Step 3: Cross multiply
    5,538.50x = 8,297.09 × 4,362.28
  4. Step 4: Simplify right side
    5,538.50x = 36,194,229.77
  5. Step 5: Solve for x
    x = 36,194,229.77/5,538.50
  6. Step 6: Final answer
    x = 6,535.02

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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.