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Finding the Fourth Proportional to 3,889.68, 5,362.92 and 3,140.88

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Solution

The fourth proportional to 3,889.68, 5,362.92 and 3,140.88 is: 4,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.68 : 5,362.92 = 3,140.88 : x
  2. Step 2: Convert to fraction form
    3,889.68/5,362.92 = 3,140.88/x
  3. Step 3: Cross multiply
    3,889.68x = 5,362.92 × 3,140.88
  4. Step 4: Simplify right side
    3,889.68x = 16,844,288.17
  5. Step 5: Solve for x
    x = 16,844,288.17/3,889.68
  6. Step 6: Final answer
    x = 4,330.51

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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.