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Finding the Fourth Proportional to 4,952.33, 7,432.23 and 1,835.27

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Solution

The fourth proportional to 4,952.33, 7,432.23 and 1,835.27 is: 2,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.33 : 7,432.23 = 1,835.27 : x
  2. Step 2: Convert to fraction form
    4,952.33/7,432.23 = 1,835.27/x
  3. Step 3: Cross multiply
    4,952.33x = 7,432.23 × 1,835.27
  4. Step 4: Simplify right side
    4,952.33x = 13,640,148.75
  5. Step 5: Solve for x
    x = 13,640,148.75/4,952.33
  6. Step 6: Final answer
    x = 2,754.29

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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.