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Finding the Fourth Proportional to 5,206.67, 7,809.90 and 1,310.97

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Solution

The fourth proportional to 5,206.67, 7,809.90 and 1,310.97 is: 1,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.67 : 7,809.90 = 1,310.97 : x
  2. Step 2: Convert to fraction form
    5,206.67/7,809.90 = 1,310.97/x
  3. Step 3: Cross multiply
    5,206.67x = 7,809.90 × 1,310.97
  4. Step 4: Simplify right side
    5,206.67x = 10,238,544.60
  5. Step 5: Solve for x
    x = 10,238,544.60/5,206.67
  6. Step 6: Final answer
    x = 1,966.43

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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.