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Finding the Fourth Proportional to 3,835.25, 5,754.23 and 1,888.82

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Solution

The fourth proportional to 3,835.25, 5,754.23 and 1,888.82 is: 2,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.25 : 5,754.23 = 1,888.82 : x
  2. Step 2: Convert to fraction form
    3,835.25/5,754.23 = 1,888.82/x
  3. Step 3: Cross multiply
    3,835.25x = 5,754.23 × 1,888.82
  4. Step 4: Simplify right side
    3,835.25x = 10,868,695.26
  5. Step 5: Solve for x
    x = 10,868,695.26/3,835.25
  6. Step 6: Final answer
    x = 2,833.89

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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.