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Finding the Fourth Proportional to 3,235.71, 4,855.27 and 1,592.04

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Solution

The fourth proportional to 3,235.71, 4,855.27 and 1,592.04 is: 2,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.71 : 4,855.27 = 1,592.04 : x
  2. Step 2: Convert to fraction form
    3,235.71/4,855.27 = 1,592.04/x
  3. Step 3: Cross multiply
    3,235.71x = 4,855.27 × 1,592.04
  4. Step 4: Simplify right side
    3,235.71x = 7,729,784.05
  5. Step 5: Solve for x
    x = 7,729,784.05/3,235.71
  6. Step 6: Final answer
    x = 2,388.90

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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.