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Finding the Fourth Proportional to 4,163.02, 6,214.04 and 3,671

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Solution

The fourth proportional to 4,163.02, 6,214.04 and 3,671 is: 5,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.02 : 6,214.04 = 3,671 : x
  2. Step 2: Convert to fraction form
    4,163.02/6,214.04 = 3,671/x
  3. Step 3: Cross multiply
    4,163.02x = 6,214.04 × 3,671
  4. Step 4: Simplify right side
    4,163.02x = 22,811,740.84
  5. Step 5: Solve for x
    x = 22,811,740.84/4,163.02
  6. Step 6: Final answer
    x = 5,479.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.