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Finding the Fourth Proportional to 5,337, 8,005.50 and 3,289.32

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Solution

The fourth proportional to 5,337, 8,005.50 and 3,289.32 is: 4,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337 : 8,005.50 = 3,289.32 : x
  2. Step 2: Convert to fraction form
    5,337/8,005.50 = 3,289.32/x
  3. Step 3: Cross multiply
    5,337x = 8,005.50 × 3,289.32
  4. Step 4: Simplify right side
    5,337x = 26,332,651.26
  5. Step 5: Solve for x
    x = 26,332,651.26/5,337
  6. Step 6: Final answer
    x = 4,933.98

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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.