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Finding the Fourth Proportional to 5,531.74, 7,632.94 and 3,173.42

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Solution

The fourth proportional to 5,531.74, 7,632.94 and 3,173.42 is: 4,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.74 : 7,632.94 = 3,173.42 : x
  2. Step 2: Convert to fraction form
    5,531.74/7,632.94 = 3,173.42/x
  3. Step 3: Cross multiply
    5,531.74x = 7,632.94 × 3,173.42
  4. Step 4: Simplify right side
    5,531.74x = 24,222,524.45
  5. Step 5: Solve for x
    x = 24,222,524.45/5,531.74
  6. Step 6: Final answer
    x = 4,378.83

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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.