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Finding the Fourth Proportional to 5,713.90, 8,571.92 and 2,594.12

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Solution

The fourth proportional to 5,713.90, 8,571.92 and 2,594.12 is: 3,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.90 : 8,571.92 = 2,594.12 : x
  2. Step 2: Convert to fraction form
    5,713.90/8,571.92 = 2,594.12/x
  3. Step 3: Cross multiply
    5,713.90x = 8,571.92 × 2,594.12
  4. Step 4: Simplify right side
    5,713.90x = 22,236,607.30
  5. Step 5: Solve for x
    x = 22,236,607.30/5,713.90
  6. Step 6: Final answer
    x = 3,891.67

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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.