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Finding the Fourth Proportional to 3,820.60, 5,730.90 and 3,796.30

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Solution

The fourth proportional to 3,820.60, 5,730.90 and 3,796.30 is: 5,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.60 : 5,730.90 = 3,796.30 : x
  2. Step 2: Convert to fraction form
    3,820.60/5,730.90 = 3,796.30/x
  3. Step 3: Cross multiply
    3,820.60x = 5,730.90 × 3,796.30
  4. Step 4: Simplify right side
    3,820.60x = 21,756,215.67
  5. Step 5: Solve for x
    x = 21,756,215.67/3,820.60
  6. Step 6: Final answer
    x = 5,694.45

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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.