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Finding the Fourth Proportional to 4,138.63, 5,712.12 and 2,371.41

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Solution

The fourth proportional to 4,138.63, 5,712.12 and 2,371.41 is: 3,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.63 : 5,712.12 = 2,371.41 : x
  2. Step 2: Convert to fraction form
    4,138.63/5,712.12 = 2,371.41/x
  3. Step 3: Cross multiply
    4,138.63x = 5,712.12 × 2,371.41
  4. Step 4: Simplify right side
    4,138.63x = 13,545,778.49
  5. Step 5: Solve for x
    x = 13,545,778.49/4,138.63
  6. Step 6: Final answer
    x = 3,273.01

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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.