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Finding the Fourth Proportional to 4,536.62, 6,261.22 and 2,769.25

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Solution

The fourth proportional to 4,536.62, 6,261.22 and 2,769.25 is: 3,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.62 : 6,261.22 = 2,769.25 : x
  2. Step 2: Convert to fraction form
    4,536.62/6,261.22 = 2,769.25/x
  3. Step 3: Cross multiply
    4,536.62x = 6,261.22 × 2,769.25
  4. Step 4: Simplify right side
    4,536.62x = 17,338,869.64
  5. Step 5: Solve for x
    x = 17,338,869.64/4,536.62
  6. Step 6: Final answer
    x = 3,821.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.