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Finding the Fourth Proportional to 5,058.88, 7,583.42 and 1,936.48

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Solution

The fourth proportional to 5,058.88, 7,583.42 and 1,936.48 is: 2,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.88 : 7,583.42 = 1,936.48 : x
  2. Step 2: Convert to fraction form
    5,058.88/7,583.42 = 1,936.48/x
  3. Step 3: Cross multiply
    5,058.88x = 7,583.42 × 1,936.48
  4. Step 4: Simplify right side
    5,058.88x = 14,685,141.16
  5. Step 5: Solve for x
    x = 14,685,141.16/5,058.88
  6. Step 6: Final answer
    x = 2,902.84

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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.