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Finding the Fourth Proportional to 4,133.97, 6,203.25 and 3,820.50

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Solution

The fourth proportional to 4,133.97, 6,203.25 and 3,820.50 is: 5,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.97 : 6,203.25 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    4,133.97/6,203.25 = 3,820.50/x
  3. Step 3: Cross multiply
    4,133.97x = 6,203.25 × 3,820.50
  4. Step 4: Simplify right side
    4,133.97x = 23,699,516.63
  5. Step 5: Solve for x
    x = 23,699,516.63/4,133.97
  6. Step 6: Final answer
    x = 5,732.87

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1.5x scale

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.