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Finding the Fourth Proportional to 5,573.75, 8,361.03 and 2,111

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Solution

The fourth proportional to 5,573.75, 8,361.03 and 2,111 is: 3,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.75 : 8,361.03 = 2,111 : x
  2. Step 2: Convert to fraction form
    5,573.75/8,361.03 = 2,111/x
  3. Step 3: Cross multiply
    5,573.75x = 8,361.03 × 2,111
  4. Step 4: Simplify right side
    5,573.75x = 17,650,134.33
  5. Step 5: Solve for x
    x = 17,650,134.33/5,573.75
  6. Step 6: Final answer
    x = 3,166.65

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Why These Related Problems?

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