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Finding the Fourth Proportional to 3,289.31, 4,933.52 and 1,532.88

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Solution

The fourth proportional to 3,289.31, 4,933.52 and 1,532.88 is: 2,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.31 : 4,933.52 = 1,532.88 : x
  2. Step 2: Convert to fraction form
    3,289.31/4,933.52 = 1,532.88/x
  3. Step 3: Cross multiply
    3,289.31x = 4,933.52 × 1,532.88
  4. Step 4: Simplify right side
    3,289.31x = 7,562,494.14
  5. Step 5: Solve for x
    x = 7,562,494.14/3,289.31
  6. Step 6: Final answer
    x = 2,299.11

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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.