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Finding the Fourth Proportional to 5,825.43, 8,735.03 and 2,315.30

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Solution

The fourth proportional to 5,825.43, 8,735.03 and 2,315.30 is: 3,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.43 : 8,735.03 = 2,315.30 : x
  2. Step 2: Convert to fraction form
    5,825.43/8,735.03 = 2,315.30/x
  3. Step 3: Cross multiply
    5,825.43x = 8,735.03 × 2,315.30
  4. Step 4: Simplify right side
    5,825.43x = 20,224,214.96
  5. Step 5: Solve for x
    x = 20,224,214.96/5,825.43
  6. Step 6: Final answer
    x = 3,471.71

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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.