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Finding the Fourth Proportional to 5,205.69, 7,805.30 and 2,431.17

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Solution

The fourth proportional to 5,205.69, 7,805.30 and 2,431.17 is: 3,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.69 : 7,805.30 = 2,431.17 : x
  2. Step 2: Convert to fraction form
    5,205.69/7,805.30 = 2,431.17/x
  3. Step 3: Cross multiply
    5,205.69x = 7,805.30 × 2,431.17
  4. Step 4: Simplify right side
    5,205.69x = 18,975,999.05
  5. Step 5: Solve for x
    x = 18,975,999.05/5,205.69
  6. Step 6: Final answer
    x = 3,645.24

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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.