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Finding the Fourth Proportional to 3,780.50, 5,648.34 and 3,651.30

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Solution

The fourth proportional to 3,780.50, 5,648.34 and 3,651.30 is: 5,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.50 : 5,648.34 = 3,651.30 : x
  2. Step 2: Convert to fraction form
    3,780.50/5,648.34 = 3,651.30/x
  3. Step 3: Cross multiply
    3,780.50x = 5,648.34 × 3,651.30
  4. Step 4: Simplify right side
    3,780.50x = 20,623,783.84
  5. Step 5: Solve for x
    x = 20,623,783.84/3,780.50
  6. Step 6: Final answer
    x = 5,455.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.