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Finding the Fourth Proportional to 5,942.88, 8,202.04 and 3,424.51

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Solution

The fourth proportional to 5,942.88, 8,202.04 and 3,424.51 is: 4,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.88 : 8,202.04 = 3,424.51 : x
  2. Step 2: Convert to fraction form
    5,942.88/8,202.04 = 3,424.51/x
  3. Step 3: Cross multiply
    5,942.88x = 8,202.04 × 3,424.51
  4. Step 4: Simplify right side
    5,942.88x = 28,087,968.00
  5. Step 5: Solve for x
    x = 28,087,968.00/5,942.88
  6. Step 6: Final answer
    x = 4,726.32

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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.