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Finding the Fourth Proportional to 3,712.98, 5,129.26 and 2,965.96

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Solution

The fourth proportional to 3,712.98, 5,129.26 and 2,965.96 is: 4,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.98 : 5,129.26 = 2,965.96 : x
  2. Step 2: Convert to fraction form
    3,712.98/5,129.26 = 2,965.96/x
  3. Step 3: Cross multiply
    3,712.98x = 5,129.26 × 2,965.96
  4. Step 4: Simplify right side
    3,712.98x = 15,213,179.99
  5. Step 5: Solve for x
    x = 15,213,179.99/3,712.98
  6. Step 6: Final answer
    x = 4,097.30

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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.