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Finding the Fourth Proportional to 4,133.63, 6,192.63 and 3,204.64

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Solution

The fourth proportional to 4,133.63, 6,192.63 and 3,204.64 is: 4,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.63 : 6,192.63 = 3,204.64 : x
  2. Step 2: Convert to fraction form
    4,133.63/6,192.63 = 3,204.64/x
  3. Step 3: Cross multiply
    4,133.63x = 6,192.63 × 3,204.64
  4. Step 4: Simplify right side
    4,133.63x = 19,845,149.80
  5. Step 5: Solve for x
    x = 19,845,149.80/4,133.63
  6. Step 6: Final answer
    x = 4,800.90

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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.