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Finding the Fourth Proportional to 5,675.20, 7,824.73 and 3,655.19

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Solution

The fourth proportional to 5,675.20, 7,824.73 and 3,655.19 is: 5,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.20 : 7,824.73 = 3,655.19 : x
  2. Step 2: Convert to fraction form
    5,675.20/7,824.73 = 3,655.19/x
  3. Step 3: Cross multiply
    5,675.20x = 7,824.73 × 3,655.19
  4. Step 4: Simplify right side
    5,675.20x = 28,600,874.85
  5. Step 5: Solve for x
    x = 28,600,874.85/5,675.20
  6. Step 6: Final answer
    x = 5,039.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.