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Finding the Fourth Proportional to 3,768.45, 5,651.32 and 1,302.60

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Solution

The fourth proportional to 3,768.45, 5,651.32 and 1,302.60 is: 1,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.45 : 5,651.32 = 1,302.60 : x
  2. Step 2: Convert to fraction form
    3,768.45/5,651.32 = 1,302.60/x
  3. Step 3: Cross multiply
    3,768.45x = 5,651.32 × 1,302.60
  4. Step 4: Simplify right side
    3,768.45x = 7,361,409.43
  5. Step 5: Solve for x
    x = 7,361,409.43/3,768.45
  6. Step 6: Final answer
    x = 1,953.43

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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.