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Finding the Fourth Proportional to 5,687.49, 8,561.41 and 4,055.33

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Solution

The fourth proportional to 5,687.49, 8,561.41 and 4,055.33 is: 6,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.49 : 8,561.41 = 4,055.33 : x
  2. Step 2: Convert to fraction form
    5,687.49/8,561.41 = 4,055.33/x
  3. Step 3: Cross multiply
    5,687.49x = 8,561.41 × 4,055.33
  4. Step 4: Simplify right side
    5,687.49x = 34,719,332.68
  5. Step 5: Solve for x
    x = 34,719,332.68/5,687.49
  6. Step 6: Final answer
    x = 6,104.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.