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Finding the Fourth Proportional to 5,633.60, 8,450.40 and 3,790.40

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Solution

The fourth proportional to 5,633.60, 8,450.40 and 3,790.40 is: 5,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.60 : 8,450.40 = 3,790.40 : x
  2. Step 2: Convert to fraction form
    5,633.60/8,450.40 = 3,790.40/x
  3. Step 3: Cross multiply
    5,633.60x = 8,450.40 × 3,790.40
  4. Step 4: Simplify right side
    5,633.60x = 32,030,396.16
  5. Step 5: Solve for x
    x = 32,030,396.16/5,633.60
  6. Step 6: Final answer
    x = 5,685.60

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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.