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Finding the Fourth Proportional to 3,536.64, 5,294.94 and 2,938.86

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Solution

The fourth proportional to 3,536.64, 5,294.94 and 2,938.86 is: 4,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.64 : 5,294.94 = 2,938.86 : x
  2. Step 2: Convert to fraction form
    3,536.64/5,294.94 = 2,938.86/x
  3. Step 3: Cross multiply
    3,536.64x = 5,294.94 × 2,938.86
  4. Step 4: Simplify right side
    3,536.64x = 15,561,076.35
  5. Step 5: Solve for x
    x = 15,561,076.35/3,536.64
  6. Step 6: Final answer
    x = 4,399.96

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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.