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Finding the Fourth Proportional to 4,857.71, 7,281.05 and 2,082.96

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Solution

The fourth proportional to 4,857.71, 7,281.05 and 2,082.96 is: 3,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.71 : 7,281.05 = 2,082.96 : x
  2. Step 2: Convert to fraction form
    4,857.71/7,281.05 = 2,082.96/x
  3. Step 3: Cross multiply
    4,857.71x = 7,281.05 × 2,082.96
  4. Step 4: Simplify right side
    4,857.71x = 15,166,141.12
  5. Step 5: Solve for x
    x = 15,166,141.12/4,857.71
  6. Step 6: Final answer
    x = 3,122.07

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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.