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Finding the Fourth Proportional to 3,716.82, 5,129.11 and 2,101.59

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Solution

The fourth proportional to 3,716.82, 5,129.11 and 2,101.59 is: 2,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.82 : 5,129.11 = 2,101.59 : x
  2. Step 2: Convert to fraction form
    3,716.82/5,129.11 = 2,101.59/x
  3. Step 3: Cross multiply
    3,716.82x = 5,129.11 × 2,101.59
  4. Step 4: Simplify right side
    3,716.82x = 10,779,286.28
  5. Step 5: Solve for x
    x = 10,779,286.28/3,716.82
  6. Step 6: Final answer
    x = 2,900.14

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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.