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Finding the Fourth Proportional to 3,801.80, 5,702.49 and 1,028.57

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Solution

The fourth proportional to 3,801.80, 5,702.49 and 1,028.57 is: 1,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.80 : 5,702.49 = 1,028.57 : x
  2. Step 2: Convert to fraction form
    3,801.80/5,702.49 = 1,028.57/x
  3. Step 3: Cross multiply
    3,801.80x = 5,702.49 × 1,028.57
  4. Step 4: Simplify right side
    3,801.80x = 5,865,381.63
  5. Step 5: Solve for x
    x = 5,865,381.63/3,801.80
  6. Step 6: Final answer
    x = 1,542.79

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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.