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Finding the Fourth Proportional to 3,507.73, 5,257.89 and 1,167.11

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Solution

The fourth proportional to 3,507.73, 5,257.89 and 1,167.11 is: 1,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.73 : 5,257.89 = 1,167.11 : x
  2. Step 2: Convert to fraction form
    3,507.73/5,257.89 = 1,167.11/x
  3. Step 3: Cross multiply
    3,507.73x = 5,257.89 × 1,167.11
  4. Step 4: Simplify right side
    3,507.73x = 6,136,506.79
  5. Step 5: Solve for x
    x = 6,136,506.79/3,507.73
  6. Step 6: Final answer
    x = 1,749.43

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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.