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Finding the Fourth Proportional to 5,633.96, 8,440.99 and 5,023.09

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Solution

The fourth proportional to 5,633.96, 8,440.99 and 5,023.09 is: 7,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.96 : 8,440.99 = 5,023.09 : x
  2. Step 2: Convert to fraction form
    5,633.96/8,440.99 = 5,023.09/x
  3. Step 3: Cross multiply
    5,633.96x = 8,440.99 × 5,023.09
  4. Step 4: Simplify right side
    5,633.96x = 42,399,818.80
  5. Step 5: Solve for x
    x = 42,399,818.80/5,633.96
  6. Step 6: Final answer
    x = 7,525.75

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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.