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Finding the Fourth Proportional to 4,109.04, 6,163.60 and 1,031.04

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Solution

The fourth proportional to 4,109.04, 6,163.60 and 1,031.04 is: 1,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.04 : 6,163.60 = 1,031.04 : x
  2. Step 2: Convert to fraction form
    4,109.04/6,163.60 = 1,031.04/x
  3. Step 3: Cross multiply
    4,109.04x = 6,163.60 × 1,031.04
  4. Step 4: Simplify right side
    4,109.04x = 6,354,918.14
  5. Step 5: Solve for x
    x = 6,354,918.14/4,109.04
  6. Step 6: Final answer
    x = 1,546.57

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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.