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Finding the Fourth Proportional to 3,933.84, 5,900.09 and 1,468.00

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Solution

The fourth proportional to 3,933.84, 5,900.09 and 1,468.00 is: 2,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.84 : 5,900.09 = 1,468.00 : x
  2. Step 2: Convert to fraction form
    3,933.84/5,900.09 = 1,468.00/x
  3. Step 3: Cross multiply
    3,933.84x = 5,900.09 × 1,468.00
  4. Step 4: Simplify right side
    3,933.84x = 8,661,302.62
  5. Step 5: Solve for x
    x = 8,661,302.62/3,933.84
  6. Step 6: Final answer
    x = 2,201.74

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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.