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Finding the Fourth Proportional to 4,532.64, 6,793.20 and 1,932.96

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Solution

The fourth proportional to 4,532.64, 6,793.20 and 1,932.96 is: 2,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.64 : 6,793.20 = 1,932.96 : x
  2. Step 2: Convert to fraction form
    4,532.64/6,793.20 = 1,932.96/x
  3. Step 3: Cross multiply
    4,532.64x = 6,793.20 × 1,932.96
  4. Step 4: Simplify right side
    4,532.64x = 13,130,983.87
  5. Step 5: Solve for x
    x = 13,130,983.87/4,532.64
  6. Step 6: Final answer
    x = 2,896.98

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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.