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Finding the Fourth Proportional to 3,186.46, 4,778.88 and 995.14

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Solution

The fourth proportional to 3,186.46, 4,778.88 and 995.14 is: 1,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.46 : 4,778.88 = 995.14 : x
  2. Step 2: Convert to fraction form
    3,186.46/4,778.88 = 995.14/x
  3. Step 3: Cross multiply
    3,186.46x = 4,778.88 × 995.14
  4. Step 4: Simplify right side
    3,186.46x = 4,755,654.64
  5. Step 5: Solve for x
    x = 4,755,654.64/3,186.46
  6. Step 6: Final answer
    x = 1,492.46

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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.