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Finding the Fourth Proportional to 8,058, 12,092.40 and 3,442.08

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Solution

The fourth proportional to 8,058, 12,092.40 and 3,442.08 is: 5,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058 : 12,092.40 = 3,442.08 : x
  2. Step 2: Convert to fraction form
    8,058/12,092.40 = 3,442.08/x
  3. Step 3: Cross multiply
    8,058x = 12,092.40 × 3,442.08
  4. Step 4: Simplify right side
    8,058x = 41,623,008.19
  5. Step 5: Solve for x
    x = 41,623,008.19/8,058
  6. Step 6: Final answer
    x = 5,165.43

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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.