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Finding the Fourth Proportional to 3,186.24, 4,779.30 and 994.96

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Solution

The fourth proportional to 3,186.24, 4,779.30 and 994.96 is: 1,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.24 : 4,779.30 = 994.96 : x
  2. Step 2: Convert to fraction form
    3,186.24/4,779.30 = 994.96/x
  3. Step 3: Cross multiply
    3,186.24x = 4,779.30 × 994.96
  4. Step 4: Simplify right side
    3,186.24x = 4,755,212.33
  5. Step 5: Solve for x
    x = 4,755,212.33/3,186.24
  6. Step 6: Final answer
    x = 1,492.42

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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.