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Finding the Fourth Proportional to 4,109.88, 6,163.65 and 1,476.96

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Solution

The fourth proportional to 4,109.88, 6,163.65 and 1,476.96 is: 2,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.88 : 6,163.65 = 1,476.96 : x
  2. Step 2: Convert to fraction form
    4,109.88/6,163.65 = 1,476.96/x
  3. Step 3: Cross multiply
    4,109.88x = 6,163.65 × 1,476.96
  4. Step 4: Simplify right side
    4,109.88x = 9,103,464.50
  5. Step 5: Solve for x
    x = 9,103,464.50/4,109.88
  6. Step 6: Final answer
    x = 2,215.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.