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Finding the Fourth Proportional to 5,570.75, 7,687.64 and 3,087.23

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Solution

The fourth proportional to 5,570.75, 7,687.64 and 3,087.23 is: 4,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.75 : 7,687.64 = 3,087.23 : x
  2. Step 2: Convert to fraction form
    5,570.75/7,687.64 = 3,087.23/x
  3. Step 3: Cross multiply
    5,570.75x = 7,687.64 × 3,087.23
  4. Step 4: Simplify right side
    5,570.75x = 23,733,512.84
  5. Step 5: Solve for x
    x = 23,733,512.84/5,570.75
  6. Step 6: Final answer
    x = 4,260.38

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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.