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Finding the Fourth Proportional to 5,336.64, 8,004.96 and 3,684.16

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Solution

The fourth proportional to 5,336.64, 8,004.96 and 3,684.16 is: 5,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.64 : 8,004.96 = 3,684.16 : x
  2. Step 2: Convert to fraction form
    5,336.64/8,004.96 = 3,684.16/x
  3. Step 3: Cross multiply
    5,336.64x = 8,004.96 × 3,684.16
  4. Step 4: Simplify right side
    5,336.64x = 29,491,553.43
  5. Step 5: Solve for x
    x = 29,491,553.43/5,336.64
  6. Step 6: Final answer
    x = 5,526.24

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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.