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Finding the Fourth Proportional to 4,855.34, 7,284.87 and 2,082.71

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Solution

The fourth proportional to 4,855.34, 7,284.87 and 2,082.71 is: 3,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.34 : 7,284.87 = 2,082.71 : x
  2. Step 2: Convert to fraction form
    4,855.34/7,284.87 = 2,082.71/x
  3. Step 3: Cross multiply
    4,855.34x = 7,284.87 × 2,082.71
  4. Step 4: Simplify right side
    4,855.34x = 15,172,289.81
  5. Step 5: Solve for x
    x = 15,172,289.81/4,855.34
  6. Step 6: Final answer
    x = 3,124.86

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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.