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Finding the Fourth Proportional to 3,813.13, 5,710.38 and 2,350.27

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Solution

The fourth proportional to 3,813.13, 5,710.38 and 2,350.27 is: 3,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.13 : 5,710.38 = 2,350.27 : x
  2. Step 2: Convert to fraction form
    3,813.13/5,710.38 = 2,350.27/x
  3. Step 3: Cross multiply
    3,813.13x = 5,710.38 × 2,350.27
  4. Step 4: Simplify right side
    3,813.13x = 13,420,934.80
  5. Step 5: Solve for x
    x = 13,420,934.80/3,813.13
  6. Step 6: Final answer
    x = 3,519.66

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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.