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Finding the Fourth Proportional to 5,580.57, 7,699.50 and 3,222.21

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Solution

The fourth proportional to 5,580.57, 7,699.50 and 3,222.21 is: 4,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.57 : 7,699.50 = 3,222.21 : x
  2. Step 2: Convert to fraction form
    5,580.57/7,699.50 = 3,222.21/x
  3. Step 3: Cross multiply
    5,580.57x = 7,699.50 × 3,222.21
  4. Step 4: Simplify right side
    5,580.57x = 24,809,405.90
  5. Step 5: Solve for x
    x = 24,809,405.90/5,580.57
  6. Step 6: Final answer
    x = 4,445.68

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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.