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Finding the Fourth Proportional to 5,571.73, 7,689.14 and 3,214

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Solution

The fourth proportional to 5,571.73, 7,689.14 and 3,214 is: 4,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.73 : 7,689.14 = 3,214 : x
  2. Step 2: Convert to fraction form
    5,571.73/7,689.14 = 3,214/x
  3. Step 3: Cross multiply
    5,571.73x = 7,689.14 × 3,214
  4. Step 4: Simplify right side
    5,571.73x = 24,712,895.96
  5. Step 5: Solve for x
    x = 24,712,895.96/5,571.73
  6. Step 6: Final answer
    x = 4,435.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.