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Finding the Fourth Proportional to 5,669.99, 7,825.46 and 4,081.90

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Solution

The fourth proportional to 5,669.99, 7,825.46 and 4,081.90 is: 5,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.99 : 7,825.46 = 4,081.90 : x
  2. Step 2: Convert to fraction form
    5,669.99/7,825.46 = 4,081.90/x
  3. Step 3: Cross multiply
    5,669.99x = 7,825.46 × 4,081.90
  4. Step 4: Simplify right side
    5,669.99x = 31,942,705.20
  5. Step 5: Solve for x
    x = 31,942,705.20/5,669.99
  6. Step 6: Final answer
    x = 5,633.64

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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.