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Finding the Fourth Proportional to 13,058, 19,587 and 3,824.08

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Solution

The fourth proportional to 13,058, 19,587 and 3,824.08 is: 5,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058 : 19,587 = 3,824.08 : x
  2. Step 2: Convert to fraction form
    13,058/19,587 = 3,824.08/x
  3. Step 3: Cross multiply
    13,058x = 19,587 × 3,824.08
  4. Step 4: Simplify right side
    13,058x = 74,902,254.96
  5. Step 5: Solve for x
    x = 74,902,254.96/13,058
  6. Step 6: Final answer
    x = 5,736.12

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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.