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Finding the Fourth Proportional to 3,768.77, 5,651.25 and 2,209.14

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Solution

The fourth proportional to 3,768.77, 5,651.25 and 2,209.14 is: 3,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.77 : 5,651.25 = 2,209.14 : x
  2. Step 2: Convert to fraction form
    3,768.77/5,651.25 = 2,209.14/x
  3. Step 3: Cross multiply
    3,768.77x = 5,651.25 × 2,209.14
  4. Step 4: Simplify right side
    3,768.77x = 12,484,402.43
  5. Step 5: Solve for x
    x = 12,484,402.43/3,768.77
  6. Step 6: Final answer
    x = 3,312.60

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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.