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Finding the Fourth Proportional to 4,536.45, 6,805.21 and 2,780.64

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Solution

The fourth proportional to 4,536.45, 6,805.21 and 2,780.64 is: 4,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.45 : 6,805.21 = 2,780.64 : x
  2. Step 2: Convert to fraction form
    4,536.45/6,805.21 = 2,780.64/x
  3. Step 3: Cross multiply
    4,536.45x = 6,805.21 × 2,780.64
  4. Step 4: Simplify right side
    4,536.45x = 18,922,791.21
  5. Step 5: Solve for x
    x = 18,922,791.21/4,536.45
  6. Step 6: Final answer
    x = 4,171.28

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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.