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Finding the Fourth Proportional to 5,250.64, 7,245.92 and 2,892.86

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Solution

The fourth proportional to 5,250.64, 7,245.92 and 2,892.86 is: 3,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.64 : 7,245.92 = 2,892.86 : x
  2. Step 2: Convert to fraction form
    5,250.64/7,245.92 = 2,892.86/x
  3. Step 3: Cross multiply
    5,250.64x = 7,245.92 × 2,892.86
  4. Step 4: Simplify right side
    5,250.64x = 20,961,432.13
  5. Step 5: Solve for x
    x = 20,961,432.13/5,250.64
  6. Step 6: Final answer
    x = 3,992.17

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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.