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Finding the Fourth Proportional to 3,807.20, 5,699.84 and 2,813.33

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Solution

The fourth proportional to 3,807.20, 5,699.84 and 2,813.33 is: 4,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.20 : 5,699.84 = 2,813.33 : x
  2. Step 2: Convert to fraction form
    3,807.20/5,699.84 = 2,813.33/x
  3. Step 3: Cross multiply
    3,807.20x = 5,699.84 × 2,813.33
  4. Step 4: Simplify right side
    3,807.20x = 16,035,531.05
  5. Step 5: Solve for x
    x = 16,035,531.05/3,807.20
  6. Step 6: Final answer
    x = 4,211.89

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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.