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Finding the Fourth Proportional to 5,530.56, 7,632 and 3,172.74

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Solution

The fourth proportional to 5,530.56, 7,632 and 3,172.74 is: 4,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.56 : 7,632 = 3,172.74 : x
  2. Step 2: Convert to fraction form
    5,530.56/7,632 = 3,172.74/x
  3. Step 3: Cross multiply
    5,530.56x = 7,632 × 3,172.74
  4. Step 4: Simplify right side
    5,530.56x = 24,214,351.68
  5. Step 5: Solve for x
    x = 24,214,351.68/5,530.56
  6. Step 6: Final answer
    x = 4,378.28

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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.