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Finding the Fourth Proportional to 4,139.93, 5,713.03 and 2,371.20

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Solution

The fourth proportional to 4,139.93, 5,713.03 and 2,371.20 is: 3,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.93 : 5,713.03 = 2,371.20 : x
  2. Step 2: Convert to fraction form
    4,139.93/5,713.03 = 2,371.20/x
  3. Step 3: Cross multiply
    4,139.93x = 5,713.03 × 2,371.20
  4. Step 4: Simplify right side
    4,139.93x = 13,546,736.74
  5. Step 5: Solve for x
    x = 13,546,736.74/4,139.93
  6. Step 6: Final answer
    x = 3,272.21

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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.