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Finding the Fourth Proportional to 3,286.02, 4,925.10 and 1,896.48

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Solution

The fourth proportional to 3,286.02, 4,925.10 and 1,896.48 is: 2,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.02 : 4,925.10 = 1,896.48 : x
  2. Step 2: Convert to fraction form
    3,286.02/4,925.10 = 1,896.48/x
  3. Step 3: Cross multiply
    3,286.02x = 4,925.10 × 1,896.48
  4. Step 4: Simplify right side
    3,286.02x = 9,340,353.65
  5. Step 5: Solve for x
    x = 9,340,353.65/3,286.02
  6. Step 6: Final answer
    x = 2,842.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.