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Finding the Fourth Proportional to 3,299.64, 4,552.36 and 1,882.30

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Solution

The fourth proportional to 3,299.64, 4,552.36 and 1,882.30 is: 2,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.64 : 4,552.36 = 1,882.30 : x
  2. Step 2: Convert to fraction form
    3,299.64/4,552.36 = 1,882.30/x
  3. Step 3: Cross multiply
    3,299.64x = 4,552.36 × 1,882.30
  4. Step 4: Simplify right side
    3,299.64x = 8,568,920.42
  5. Step 5: Solve for x
    x = 8,568,920.42/3,299.64
  6. Step 6: Final answer
    x = 2,596.93

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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.