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Finding the Fourth Proportional to 3,742.02, 5,613.62 and 1,794.22

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Solution

The fourth proportional to 3,742.02, 5,613.62 and 1,794.22 is: 2,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.02 : 5,613.62 = 1,794.22 : x
  2. Step 2: Convert to fraction form
    3,742.02/5,613.62 = 1,794.22/x
  3. Step 3: Cross multiply
    3,742.02x = 5,613.62 × 1,794.22
  4. Step 4: Simplify right side
    3,742.02x = 10,072,069.28
  5. Step 5: Solve for x
    x = 10,072,069.28/3,742.02
  6. Step 6: Final answer
    x = 2,691.61

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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.