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Finding the Fourth Proportional to 6,058, 9,082.54 and 2,309.13

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Solution

The fourth proportional to 6,058, 9,082.54 and 2,309.13 is: 3,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058 : 9,082.54 = 2,309.13 : x
  2. Step 2: Convert to fraction form
    6,058/9,082.54 = 2,309.13/x
  3. Step 3: Cross multiply
    6,058x = 9,082.54 × 2,309.13
  4. Step 4: Simplify right side
    6,058x = 20,972,765.59
  5. Step 5: Solve for x
    x = 20,972,765.59/6,058
  6. Step 6: Final answer
    x = 3,461.99

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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.