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Finding the Fourth Proportional to 5,222.56, 7,822.32 and 3,483.04

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Solution

The fourth proportional to 5,222.56, 7,822.32 and 3,483.04 is: 5,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.56 : 7,822.32 = 3,483.04 : x
  2. Step 2: Convert to fraction form
    5,222.56/7,822.32 = 3,483.04/x
  3. Step 3: Cross multiply
    5,222.56x = 7,822.32 × 3,483.04
  4. Step 4: Simplify right side
    5,222.56x = 27,245,453.45
  5. Step 5: Solve for x
    x = 27,245,453.45/5,222.56
  6. Step 6: Final answer
    x = 5,216.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.