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Finding the Fourth Proportional to 3,186.11, 4,779.17 and 994.85

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Solution

The fourth proportional to 3,186.11, 4,779.17 and 994.85 is: 1,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.11 : 4,779.17 = 994.85 : x
  2. Step 2: Convert to fraction form
    3,186.11/4,779.17 = 994.85/x
  3. Step 3: Cross multiply
    3,186.11x = 4,779.17 × 994.85
  4. Step 4: Simplify right side
    3,186.11x = 4,754,550.06
  5. Step 5: Solve for x
    x = 4,754,550.06/3,186.11
  6. Step 6: Final answer
    x = 1,492.27

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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.