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Finding the Fourth Proportional to 5,633.60, 8,450.40 and 5,489.60

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Solution

The fourth proportional to 5,633.60, 8,450.40 and 5,489.60 is: 8,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.60 : 8,450.40 = 5,489.60 : x
  2. Step 2: Convert to fraction form
    5,633.60/8,450.40 = 5,489.60/x
  3. Step 3: Cross multiply
    5,633.60x = 8,450.40 × 5,489.60
  4. Step 4: Simplify right side
    5,633.60x = 46,389,315.84
  5. Step 5: Solve for x
    x = 46,389,315.84/5,633.60
  6. Step 6: Final answer
    x = 8,234.40

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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.