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Finding the Fourth Proportional to 3,286.76, 4,535.94 and 1,889.48

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Solution

The fourth proportional to 3,286.76, 4,535.94 and 1,889.48 is: 2,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.76 : 4,535.94 = 1,889.48 : x
  2. Step 2: Convert to fraction form
    3,286.76/4,535.94 = 1,889.48/x
  3. Step 3: Cross multiply
    3,286.76x = 4,535.94 × 1,889.48
  4. Step 4: Simplify right side
    3,286.76x = 8,570,567.91
  5. Step 5: Solve for x
    x = 8,570,567.91/3,286.76
  6. Step 6: Final answer
    x = 2,607.60

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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.