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Finding the Fourth Proportional to 3,597.51, 4,965.66 and 2,105.76

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Solution

The fourth proportional to 3,597.51, 4,965.66 and 2,105.76 is: 2,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.51 : 4,965.66 = 2,105.76 : x
  2. Step 2: Convert to fraction form
    3,597.51/4,965.66 = 2,105.76/x
  3. Step 3: Cross multiply
    3,597.51x = 4,965.66 × 2,105.76
  4. Step 4: Simplify right side
    3,597.51x = 10,456,488.20
  5. Step 5: Solve for x
    x = 10,456,488.20/3,597.51
  6. Step 6: Final answer
    x = 2,906.59

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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.