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Finding the Fourth Proportional to 3,167.49, 4,749.84 and 1,087.69

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Solution

The fourth proportional to 3,167.49, 4,749.84 and 1,087.69 is: 1,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.49 : 4,749.84 = 1,087.69 : x
  2. Step 2: Convert to fraction form
    3,167.49/4,749.84 = 1,087.69/x
  3. Step 3: Cross multiply
    3,167.49x = 4,749.84 × 1,087.69
  4. Step 4: Simplify right side
    3,167.49x = 5,166,353.47
  5. Step 5: Solve for x
    x = 5,166,353.47/3,167.49
  6. Step 6: Final answer
    x = 1,631.06

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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.