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Finding the Fourth Proportional to 5,188.56, 7,162.68 and 3,200.76

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Solution

The fourth proportional to 5,188.56, 7,162.68 and 3,200.76 is: 4,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.56 : 7,162.68 = 3,200.76 : x
  2. Step 2: Convert to fraction form
    5,188.56/7,162.68 = 3,200.76/x
  3. Step 3: Cross multiply
    5,188.56x = 7,162.68 × 3,200.76
  4. Step 4: Simplify right side
    5,188.56x = 22,926,019.64
  5. Step 5: Solve for x
    x = 22,926,019.64/5,188.56
  6. Step 6: Final answer
    x = 4,418.57

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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.