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Finding the Fourth Proportional to 5,889.57, 8,128.76 and 3,900.21

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Solution

The fourth proportional to 5,889.57, 8,128.76 and 3,900.21 is: 5,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.57 : 8,128.76 = 3,900.21 : x
  2. Step 2: Convert to fraction form
    5,889.57/8,128.76 = 3,900.21/x
  3. Step 3: Cross multiply
    5,889.57x = 8,128.76 × 3,900.21
  4. Step 4: Simplify right side
    5,889.57x = 31,703,871.04
  5. Step 5: Solve for x
    x = 31,703,871.04/5,889.57
  6. Step 6: Final answer
    x = 5,383.05

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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.