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Finding the Fourth Proportional to 3,601.28, 4,966.16 and 3,201.68

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Solution

The fourth proportional to 3,601.28, 4,966.16 and 3,201.68 is: 4,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.28 : 4,966.16 = 3,201.68 : x
  2. Step 2: Convert to fraction form
    3,601.28/4,966.16 = 3,201.68/x
  3. Step 3: Cross multiply
    3,601.28x = 4,966.16 × 3,201.68
  4. Step 4: Simplify right side
    3,601.28x = 15,900,014.31
  5. Step 5: Solve for x
    x = 15,900,014.31/3,601.28
  6. Step 6: Final answer
    x = 4,415.11

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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.