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Finding the Fourth Proportional to 4,906.86, 7,354.62 and 2,133.02

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Solution

The fourth proportional to 4,906.86, 7,354.62 and 2,133.02 is: 3,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.86 : 7,354.62 = 2,133.02 : x
  2. Step 2: Convert to fraction form
    4,906.86/7,354.62 = 2,133.02/x
  3. Step 3: Cross multiply
    4,906.86x = 7,354.62 × 2,133.02
  4. Step 4: Simplify right side
    4,906.86x = 15,687,514.78
  5. Step 5: Solve for x
    x = 15,687,514.78/4,906.86
  6. Step 6: Final answer
    x = 3,197.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.