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Finding the Fourth Proportional to 3,855.30, 5,784.30 and 1,664.70

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Solution

The fourth proportional to 3,855.30, 5,784.30 and 1,664.70 is: 2,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.30 : 5,784.30 = 1,664.70 : x
  2. Step 2: Convert to fraction form
    3,855.30/5,784.30 = 1,664.70/x
  3. Step 3: Cross multiply
    3,855.30x = 5,784.30 × 1,664.70
  4. Step 4: Simplify right side
    3,855.30x = 9,629,124.21
  5. Step 5: Solve for x
    x = 9,629,124.21/3,855.30
  6. Step 6: Final answer
    x = 2,497.63

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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.