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Finding the Fourth Proportional to 5,589.46, 7,713.83 and 3,200.18

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Solution

The fourth proportional to 5,589.46, 7,713.83 and 3,200.18 is: 4,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.46 : 7,713.83 = 3,200.18 : x
  2. Step 2: Convert to fraction form
    5,589.46/7,713.83 = 3,200.18/x
  3. Step 3: Cross multiply
    5,589.46x = 7,713.83 × 3,200.18
  4. Step 4: Simplify right side
    5,589.46x = 24,685,628.49
  5. Step 5: Solve for x
    x = 24,685,628.49/5,589.46
  6. Step 6: Final answer
    x = 4,416.46

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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.