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Finding the Fourth Proportional to 5,645.24, 7,790.43 and 3,092.99

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Solution

The fourth proportional to 5,645.24, 7,790.43 and 3,092.99 is: 4,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.24 : 7,790.43 = 3,092.99 : x
  2. Step 2: Convert to fraction form
    5,645.24/7,790.43 = 3,092.99/x
  3. Step 3: Cross multiply
    5,645.24x = 7,790.43 × 3,092.99
  4. Step 4: Simplify right side
    5,645.24x = 24,095,722.09
  5. Step 5: Solve for x
    x = 24,095,722.09/5,645.24
  6. Step 6: Final answer
    x = 4,268.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.