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Finding the Fourth Proportional to 5,889.48, 8,127.41 and 3,200.67

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Solution

The fourth proportional to 5,889.48, 8,127.41 and 3,200.67 is: 4,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.48 : 8,127.41 = 3,200.67 : x
  2. Step 2: Convert to fraction form
    5,889.48/8,127.41 = 3,200.67/x
  3. Step 3: Cross multiply
    5,889.48x = 8,127.41 × 3,200.67
  4. Step 4: Simplify right side
    5,889.48x = 26,013,116.73
  5. Step 5: Solve for x
    x = 26,013,116.73/5,889.48
  6. Step 6: Final answer
    x = 4,416.88

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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.