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Finding the Fourth Proportional to 4,805.96, 7,207.07 and 1,995.66

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Solution

The fourth proportional to 4,805.96, 7,207.07 and 1,995.66 is: 2,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.96 : 7,207.07 = 1,995.66 : x
  2. Step 2: Convert to fraction form
    4,805.96/7,207.07 = 1,995.66/x
  3. Step 3: Cross multiply
    4,805.96x = 7,207.07 × 1,995.66
  4. Step 4: Simplify right side
    4,805.96x = 14,382,851.34
  5. Step 5: Solve for x
    x = 14,382,851.34/4,805.96
  6. Step 6: Final answer
    x = 2,992.71

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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.