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Finding the Fourth Proportional to 3,138.24, 4,707.96 and 1,058.29

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Solution

The fourth proportional to 3,138.24, 4,707.96 and 1,058.29 is: 1,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.24 : 4,707.96 = 1,058.29 : x
  2. Step 2: Convert to fraction form
    3,138.24/4,707.96 = 1,058.29/x
  3. Step 3: Cross multiply
    3,138.24x = 4,707.96 × 1,058.29
  4. Step 4: Simplify right side
    3,138.24x = 4,982,375.22
  5. Step 5: Solve for x
    x = 4,982,375.22/3,138.24
  6. Step 6: Final answer
    x = 1,587.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.