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Finding the Fourth Proportional to 5,669.80, 7,824.48 and 3,431.26

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Solution

The fourth proportional to 5,669.80, 7,824.48 and 3,431.26 is: 4,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.80 : 7,824.48 = 3,431.26 : x
  2. Step 2: Convert to fraction form
    5,669.80/7,824.48 = 3,431.26/x
  3. Step 3: Cross multiply
    5,669.80x = 7,824.48 × 3,431.26
  4. Step 4: Simplify right side
    5,669.80x = 26,847,825.24
  5. Step 5: Solve for x
    x = 26,847,825.24/5,669.80
  6. Step 6: Final answer
    x = 4,735.23

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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.