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Finding the Fourth Proportional to 3,801.70, 5,702.55 and 1,857.70

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Solution

The fourth proportional to 3,801.70, 5,702.55 and 1,857.70 is: 2,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.70 : 5,702.55 = 1,857.70 : x
  2. Step 2: Convert to fraction form
    3,801.70/5,702.55 = 1,857.70/x
  3. Step 3: Cross multiply
    3,801.70x = 5,702.55 × 1,857.70
  4. Step 4: Simplify right side
    3,801.70x = 10,593,627.14
  5. Step 5: Solve for x
    x = 10,593,627.14/3,801.70
  6. Step 6: Final answer
    x = 2,786.55

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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.