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Finding the Fourth Proportional to 5,682.90, 8,511.12 and 5,485.84

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Solution

The fourth proportional to 5,682.90, 8,511.12 and 5,485.84 is: 8,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.90 : 8,511.12 = 5,485.84 : x
  2. Step 2: Convert to fraction form
    5,682.90/8,511.12 = 5,485.84/x
  3. Step 3: Cross multiply
    5,682.90x = 8,511.12 × 5,485.84
  4. Step 4: Simplify right side
    5,682.90x = 46,690,642.54
  5. Step 5: Solve for x
    x = 46,690,642.54/5,682.90
  6. Step 6: Final answer
    x = 8,215.99

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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.