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Finding the Fourth Proportional to 5,763.96, 8,632.23 and 3,677.43

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Solution

The fourth proportional to 5,763.96, 8,632.23 and 3,677.43 is: 5,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.96 : 8,632.23 = 3,677.43 : x
  2. Step 2: Convert to fraction form
    5,763.96/8,632.23 = 3,677.43/x
  3. Step 3: Cross multiply
    5,763.96x = 8,632.23 × 3,677.43
  4. Step 4: Simplify right side
    5,763.96x = 31,744,421.57
  5. Step 5: Solve for x
    x = 31,744,421.57/5,763.96
  6. Step 6: Final answer
    x = 5,507.40

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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.