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Finding the Fourth Proportional to 6,163.85, 8,505.45 and 3,646.05

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Solution

The fourth proportional to 6,163.85, 8,505.45 and 3,646.05 is: 5,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.85 : 8,505.45 = 3,646.05 : x
  2. Step 2: Convert to fraction form
    6,163.85/8,505.45 = 3,646.05/x
  3. Step 3: Cross multiply
    6,163.85x = 8,505.45 × 3,646.05
  4. Step 4: Simplify right side
    6,163.85x = 31,011,295.97
  5. Step 5: Solve for x
    x = 31,011,295.97/6,163.85
  6. Step 6: Final answer
    x = 5,031.16

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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.