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Finding the Fourth Proportional to 3,186.44, 4,779.50 and 994.92

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Solution

The fourth proportional to 3,186.44, 4,779.50 and 994.92 is: 1,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.44 : 4,779.50 = 994.92 : x
  2. Step 2: Convert to fraction form
    3,186.44/4,779.50 = 994.92/x
  3. Step 3: Cross multiply
    3,186.44x = 4,779.50 × 994.92
  4. Step 4: Simplify right side
    3,186.44x = 4,755,220.14
  5. Step 5: Solve for x
    x = 4,755,220.14/3,186.44
  6. Step 6: Final answer
    x = 1,492.33

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Why These Related Problems?

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