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Finding the Fourth Proportional to 5,906.84, 8,858.13 and 1,957.37

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Solution

The fourth proportional to 5,906.84, 8,858.13 and 1,957.37 is: 2,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.84 : 8,858.13 = 1,957.37 : x
  2. Step 2: Convert to fraction form
    5,906.84/8,858.13 = 1,957.37/x
  3. Step 3: Cross multiply
    5,906.84x = 8,858.13 × 1,957.37
  4. Step 4: Simplify right side
    5,906.84x = 17,338,593.63
  5. Step 5: Solve for x
    x = 17,338,593.63/5,906.84
  6. Step 6: Final answer
    x = 2,935.34

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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.