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Finding the Fourth Proportional to 5,206.81, 7,810.23 and 1,311.22

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Solution

The fourth proportional to 5,206.81, 7,810.23 and 1,311.22 is: 1,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.81 : 7,810.23 = 1,311.22 : x
  2. Step 2: Convert to fraction form
    5,206.81/7,810.23 = 1,311.22/x
  3. Step 3: Cross multiply
    5,206.81x = 7,810.23 × 1,311.22
  4. Step 4: Simplify right side
    5,206.81x = 10,240,929.78
  5. Step 5: Solve for x
    x = 10,240,929.78/5,206.81
  6. Step 6: Final answer
    x = 1,966.83

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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.