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Finding the Fourth Proportional to 3,801.72, 5,702.02 and 1,609.20

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Solution

The fourth proportional to 3,801.72, 5,702.02 and 1,609.20 is: 2,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.72 : 5,702.02 = 1,609.20 : x
  2. Step 2: Convert to fraction form
    3,801.72/5,702.02 = 1,609.20/x
  3. Step 3: Cross multiply
    3,801.72x = 5,702.02 × 1,609.20
  4. Step 4: Simplify right side
    3,801.72x = 9,175,690.58
  5. Step 5: Solve for x
    x = 9,175,690.58/3,801.72
  6. Step 6: Final answer
    x = 2,413.56

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1.5x scale

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.