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Finding the Fourth Proportional to 4,192.88, 6,289.30 and 1,072.88

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Solution

The fourth proportional to 4,192.88, 6,289.30 and 1,072.88 is: 1,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.88 : 6,289.30 = 1,072.88 : x
  2. Step 2: Convert to fraction form
    4,192.88/6,289.30 = 1,072.88/x
  3. Step 3: Cross multiply
    4,192.88x = 6,289.30 × 1,072.88
  4. Step 4: Simplify right side
    4,192.88x = 6,747,677.23
  5. Step 5: Solve for x
    x = 6,747,677.23/4,192.88
  6. Step 6: Final answer
    x = 1,609.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.