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Finding the Fourth Proportional to 5,608.72, 8,403.72 and 3,827.17

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Solution

The fourth proportional to 5,608.72, 8,403.72 and 3,827.17 is: 5,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.72 : 8,403.72 = 3,827.17 : x
  2. Step 2: Convert to fraction form
    5,608.72/8,403.72 = 3,827.17/x
  3. Step 3: Cross multiply
    5,608.72x = 8,403.72 × 3,827.17
  4. Step 4: Simplify right side
    5,608.72x = 32,162,465.07
  5. Step 5: Solve for x
    x = 32,162,465.07/5,608.72
  6. Step 6: Final answer
    x = 5,734.37

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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.