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Finding the Fourth Proportional to 5,571.99, 7,689.74 and 3,214.89

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Solution

The fourth proportional to 5,571.99, 7,689.74 and 3,214.89 is: 4,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.99 : 7,689.74 = 3,214.89 : x
  2. Step 2: Convert to fraction form
    5,571.99/7,689.74 = 3,214.89/x
  3. Step 3: Cross multiply
    5,571.99x = 7,689.74 × 3,214.89
  4. Step 4: Simplify right side
    5,571.99x = 24,721,652.15
  5. Step 5: Solve for x
    x = 24,721,652.15/5,571.99
  6. Step 6: Final answer
    x = 4,436.77

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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.