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Finding the Fourth Proportional to 3,801.02, 5,702.00 and 1,609.43

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Solution

The fourth proportional to 3,801.02, 5,702.00 and 1,609.43 is: 2,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.02 : 5,702.00 = 1,609.43 : x
  2. Step 2: Convert to fraction form
    3,801.02/5,702.00 = 1,609.43/x
  3. Step 3: Cross multiply
    3,801.02x = 5,702.00 × 1,609.43
  4. Step 4: Simplify right side
    3,801.02x = 9,176,933.30
  5. Step 5: Solve for x
    x = 9,176,933.30/3,801.02
  6. Step 6: Final answer
    x = 2,414.34

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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.