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Finding the Fourth Proportional to 5,205.79, 7,808.82 and 1,310.26

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Solution

The fourth proportional to 5,205.79, 7,808.82 and 1,310.26 is: 1,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.79 : 7,808.82 = 1,310.26 : x
  2. Step 2: Convert to fraction form
    5,205.79/7,808.82 = 1,310.26/x
  3. Step 3: Cross multiply
    5,205.79x = 7,808.82 × 1,310.26
  4. Step 4: Simplify right side
    5,205.79x = 10,231,584.49
  5. Step 5: Solve for x
    x = 10,231,584.49/5,205.79
  6. Step 6: Final answer
    x = 1,965.42

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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.