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Finding the Fourth Proportional to 5,205.85, 7,808.77 and 1,310.25

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Solution

The fourth proportional to 5,205.85, 7,808.77 and 1,310.25 is: 1,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.85 : 7,808.77 = 1,310.25 : x
  2. Step 2: Convert to fraction form
    5,205.85/7,808.77 = 1,310.25/x
  3. Step 3: Cross multiply
    5,205.85x = 7,808.77 × 1,310.25
  4. Step 4: Simplify right side
    5,205.85x = 10,231,437.62
  5. Step 5: Solve for x
    x = 10,231,437.62/5,205.85
  6. Step 6: Final answer
    x = 1,965.37

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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.