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Finding the Fourth Proportional to 3,597.79, 4,965.40 and 2,105.67

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Solution

The fourth proportional to 3,597.79, 4,965.40 and 2,105.67 is: 2,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.79 : 4,965.40 = 2,105.67 : x
  2. Step 2: Convert to fraction form
    3,597.79/4,965.40 = 2,105.67/x
  3. Step 3: Cross multiply
    3,597.79x = 4,965.40 × 2,105.67
  4. Step 4: Simplify right side
    3,597.79x = 10,455,501.11
  5. Step 5: Solve for x
    x = 10,455,501.11/3,597.79
  6. Step 6: Final answer
    x = 2,906.09

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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.