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Finding the Fourth Proportional to 5,579.64, 7,699.68 and 3,222.18

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Solution

The fourth proportional to 5,579.64, 7,699.68 and 3,222.18 is: 4,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.64 : 7,699.68 = 3,222.18 : x
  2. Step 2: Convert to fraction form
    5,579.64/7,699.68 = 3,222.18/x
  3. Step 3: Cross multiply
    5,579.64x = 7,699.68 × 3,222.18
  4. Step 4: Simplify right side
    5,579.64x = 24,809,754.90
  5. Step 5: Solve for x
    x = 24,809,754.90/5,579.64
  6. Step 6: Final answer
    x = 4,446.48

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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.