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Finding the Fourth Proportional to 5,318.49, 7,966.83 and 2,682.30

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Solution

The fourth proportional to 5,318.49, 7,966.83 and 2,682.30 is: 4,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.49 : 7,966.83 = 2,682.30 : x
  2. Step 2: Convert to fraction form
    5,318.49/7,966.83 = 2,682.30/x
  3. Step 3: Cross multiply
    5,318.49x = 7,966.83 × 2,682.30
  4. Step 4: Simplify right side
    5,318.49x = 21,369,428.11
  5. Step 5: Solve for x
    x = 21,369,428.11/5,318.49
  6. Step 6: Final answer
    x = 4,017.95

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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.