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Finding the Fourth Proportional to 4,704.64, 7,056.96 and 1,932.82

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Solution

The fourth proportional to 4,704.64, 7,056.96 and 1,932.82 is: 2,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.64 : 7,056.96 = 1,932.82 : x
  2. Step 2: Convert to fraction form
    4,704.64/7,056.96 = 1,932.82/x
  3. Step 3: Cross multiply
    4,704.64x = 7,056.96 × 1,932.82
  4. Step 4: Simplify right side
    4,704.64x = 13,639,833.43
  5. Step 5: Solve for x
    x = 13,639,833.43/4,704.64
  6. Step 6: Final answer
    x = 2,899.23

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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.