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Finding the Fourth Proportional to 3,460.92, 5,190.82 and 995.17

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Solution

The fourth proportional to 3,460.92, 5,190.82 and 995.17 is: 1,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.92 : 5,190.82 = 995.17 : x
  2. Step 2: Convert to fraction form
    3,460.92/5,190.82 = 995.17/x
  3. Step 3: Cross multiply
    3,460.92x = 5,190.82 × 995.17
  4. Step 4: Simplify right side
    3,460.92x = 5,165,748.34
  5. Step 5: Solve for x
    x = 5,165,748.34/3,460.92
  6. Step 6: Final answer
    x = 1,492.59

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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.