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Finding the Fourth Proportional to 5,187.86, 7,782.23 and 2,268.21

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Solution

The fourth proportional to 5,187.86, 7,782.23 and 2,268.21 is: 3,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.86 : 7,782.23 = 2,268.21 : x
  2. Step 2: Convert to fraction form
    5,187.86/7,782.23 = 2,268.21/x
  3. Step 3: Cross multiply
    5,187.86x = 7,782.23 × 2,268.21
  4. Step 4: Simplify right side
    5,187.86x = 17,651,731.91
  5. Step 5: Solve for x
    x = 17,651,731.91/5,187.86
  6. Step 6: Final answer
    x = 3,402.51

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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.