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Finding the Fourth Proportional to 3,754.09, 5,632.05 and 2,645.67

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Solution

The fourth proportional to 3,754.09, 5,632.05 and 2,645.67 is: 3,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.09 : 5,632.05 = 2,645.67 : x
  2. Step 2: Convert to fraction form
    3,754.09/5,632.05 = 2,645.67/x
  3. Step 3: Cross multiply
    3,754.09x = 5,632.05 × 2,645.67
  4. Step 4: Simplify right side
    3,754.09x = 14,900,504.33
  5. Step 5: Solve for x
    x = 14,900,504.33/3,754.09
  6. Step 6: Final answer
    x = 3,969.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.