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Finding the Fourth Proportional to 3,843.70, 5,765.55 and 1,381.30

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Solution

The fourth proportional to 3,843.70, 5,765.55 and 1,381.30 is: 2,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.70 : 5,765.55 = 1,381.30 : x
  2. Step 2: Convert to fraction form
    3,843.70/5,765.55 = 1,381.30/x
  3. Step 3: Cross multiply
    3,843.70x = 5,765.55 × 1,381.30
  4. Step 4: Simplify right side
    3,843.70x = 7,963,954.22
  5. Step 5: Solve for x
    x = 7,963,954.22/3,843.70
  6. Step 6: Final answer
    x = 2,071.95

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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.