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Finding the Fourth Proportional to 3,644.96, 5,468.16 and 1,336.48

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Solution

The fourth proportional to 3,644.96, 5,468.16 and 1,336.48 is: 2,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.96 : 5,468.16 = 1,336.48 : x
  2. Step 2: Convert to fraction form
    3,644.96/5,468.16 = 1,336.48/x
  3. Step 3: Cross multiply
    3,644.96x = 5,468.16 × 1,336.48
  4. Step 4: Simplify right side
    3,644.96x = 7,308,086.48
  5. Step 5: Solve for x
    x = 7,308,086.48/3,644.96
  6. Step 6: Final answer
    x = 2,004.98

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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.