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Finding the Fourth Proportional to 5,863.64, 8,090.19 and 3,768.98

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Solution

The fourth proportional to 5,863.64, 8,090.19 and 3,768.98 is: 5,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.64 : 8,090.19 = 3,768.98 : x
  2. Step 2: Convert to fraction form
    5,863.64/8,090.19 = 3,768.98/x
  3. Step 3: Cross multiply
    5,863.64x = 8,090.19 × 3,768.98
  4. Step 4: Simplify right side
    5,863.64x = 30,491,723.86
  5. Step 5: Solve for x
    x = 30,491,723.86/5,863.64
  6. Step 6: Final answer
    x = 5,200.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.