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Finding the Fourth Proportional to 4,138.34, 5,712.24 and 2,650.26

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Solution

The fourth proportional to 4,138.34, 5,712.24 and 2,650.26 is: 3,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.34 : 5,712.24 = 2,650.26 : x
  2. Step 2: Convert to fraction form
    4,138.34/5,712.24 = 2,650.26/x
  3. Step 3: Cross multiply
    4,138.34x = 5,712.24 × 2,650.26
  4. Step 4: Simplify right side
    4,138.34x = 15,138,921.18
  5. Step 5: Solve for x
    x = 15,138,921.18/4,138.34
  6. Step 6: Final answer
    x = 3,658.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.