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Finding the Fourth Proportional to 3,742.37, 5,613.58 and 968.85

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Solution

The fourth proportional to 3,742.37, 5,613.58 and 968.85 is: 1,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.37 : 5,613.58 = 968.85 : x
  2. Step 2: Convert to fraction form
    3,742.37/5,613.58 = 968.85/x
  3. Step 3: Cross multiply
    3,742.37x = 5,613.58 × 968.85
  4. Step 4: Simplify right side
    3,742.37x = 5,438,714.56
  5. Step 5: Solve for x
    x = 5,438,714.56/3,742.37
  6. Step 6: Final answer
    x = 1,453.28

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Similar ratio
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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.