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Finding the Fourth Proportional to 5,493.12, 8,239.78 and 1,795.34

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Solution

The fourth proportional to 5,493.12, 8,239.78 and 1,795.34 is: 2,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.12 : 8,239.78 = 1,795.34 : x
  2. Step 2: Convert to fraction form
    5,493.12/8,239.78 = 1,795.34/x
  3. Step 3: Cross multiply
    5,493.12x = 8,239.78 × 1,795.34
  4. Step 4: Simplify right side
    5,493.12x = 14,793,165.43
  5. Step 5: Solve for x
    x = 14,793,165.43/5,493.12
  6. Step 6: Final answer
    x = 2,693.04

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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.