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Finding the Fourth Proportional to 5,201.90, 7,802.89 and 2,082.17

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Solution

The fourth proportional to 5,201.90, 7,802.89 and 2,082.17 is: 3,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.90 : 7,802.89 = 2,082.17 : x
  2. Step 2: Convert to fraction form
    5,201.90/7,802.89 = 2,082.17/x
  3. Step 3: Cross multiply
    5,201.90x = 7,802.89 × 2,082.17
  4. Step 4: Simplify right side
    5,201.90x = 16,246,957.77
  5. Step 5: Solve for x
    x = 16,246,957.77/5,201.90
  6. Step 6: Final answer
    x = 3,123.27

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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.