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Finding the Fourth Proportional to 3,797.44, 5,695.26 and 1,200.40

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Solution

The fourth proportional to 3,797.44, 5,695.26 and 1,200.40 is: 1,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.44 : 5,695.26 = 1,200.40 : x
  2. Step 2: Convert to fraction form
    3,797.44/5,695.26 = 1,200.40/x
  3. Step 3: Cross multiply
    3,797.44x = 5,695.26 × 1,200.40
  4. Step 4: Simplify right side
    3,797.44x = 6,836,590.10
  5. Step 5: Solve for x
    x = 6,836,590.10/3,797.44
  6. Step 6: Final answer
    x = 1,800.32

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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.