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Finding the Fourth Proportional to 5,719.82, 8,580.13 and 1,824.19

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Solution

The fourth proportional to 5,719.82, 8,580.13 and 1,824.19 is: 2,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.82 : 8,580.13 = 1,824.19 : x
  2. Step 2: Convert to fraction form
    5,719.82/8,580.13 = 1,824.19/x
  3. Step 3: Cross multiply
    5,719.82x = 8,580.13 × 1,824.19
  4. Step 4: Simplify right side
    5,719.82x = 15,651,761.33
  5. Step 5: Solve for x
    x = 15,651,761.33/5,719.82
  6. Step 6: Final answer
    x = 2,736.41

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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.