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Finding the Fourth Proportional to 4,516.38, 6,774.36 and 1,882.80

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Solution

The fourth proportional to 4,516.38, 6,774.36 and 1,882.80 is: 2,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.38 : 6,774.36 = 1,882.80 : x
  2. Step 2: Convert to fraction form
    4,516.38/6,774.36 = 1,882.80/x
  3. Step 3: Cross multiply
    4,516.38x = 6,774.36 × 1,882.80
  4. Step 4: Simplify right side
    4,516.38x = 12,754,765.01
  5. Step 5: Solve for x
    x = 12,754,765.01/4,516.38
  6. Step 6: Final answer
    x = 2,824.11

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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.