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Finding the Fourth Proportional to 3,866.80, 5,800.83 and 1,269.13

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Solution

The fourth proportional to 3,866.80, 5,800.83 and 1,269.13 is: 1,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.80 : 5,800.83 = 1,269.13 : x
  2. Step 2: Convert to fraction form
    3,866.80/5,800.83 = 1,269.13/x
  3. Step 3: Cross multiply
    3,866.80x = 5,800.83 × 1,269.13
  4. Step 4: Simplify right side
    3,866.80x = 7,361,983.13
  5. Step 5: Solve for x
    x = 7,361,983.13/3,866.80
  6. Step 6: Final answer
    x = 1,903.90

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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.