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Finding the Fourth Proportional to 3,597.97, 4,965.68 and 2,712.24

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Solution

The fourth proportional to 3,597.97, 4,965.68 and 2,712.24 is: 3,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.97 : 4,965.68 = 2,712.24 : x
  2. Step 2: Convert to fraction form
    3,597.97/4,965.68 = 2,712.24/x
  3. Step 3: Cross multiply
    3,597.97x = 4,965.68 × 2,712.24
  4. Step 4: Simplify right side
    3,597.97x = 13,468,115.92
  5. Step 5: Solve for x
    x = 13,468,115.92/3,597.97
  6. Step 6: Final answer
    x = 3,743.25

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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.