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Finding the Fourth Proportional to 3,273.86, 4,910.87 and 934.08

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Solution

The fourth proportional to 3,273.86, 4,910.87 and 934.08 is: 1,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.86 : 4,910.87 = 934.08 : x
  2. Step 2: Convert to fraction form
    3,273.86/4,910.87 = 934.08/x
  3. Step 3: Cross multiply
    3,273.86x = 4,910.87 × 934.08
  4. Step 4: Simplify right side
    3,273.86x = 4,587,120.90
  5. Step 5: Solve for x
    x = 4,587,120.90/3,273.86
  6. Step 6: Final answer
    x = 1,401.14

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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.