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Finding the Fourth Proportional to 3,288.72, 4,932.88 and 1,989.84

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Solution

The fourth proportional to 3,288.72, 4,932.88 and 1,989.84 is: 2,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.72 : 4,932.88 = 1,989.84 : x
  2. Step 2: Convert to fraction form
    3,288.72/4,932.88 = 1,989.84/x
  3. Step 3: Cross multiply
    3,288.72x = 4,932.88 × 1,989.84
  4. Step 4: Simplify right side
    3,288.72x = 9,815,641.94
  5. Step 5: Solve for x
    x = 9,815,641.94/3,288.72
  6. Step 6: Final answer
    x = 2,984.64

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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.