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Finding the Fourth Proportional to 3,460.45, 5,190.49 and 995.17

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Solution

The fourth proportional to 3,460.45, 5,190.49 and 995.17 is: 1,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.45 : 5,190.49 = 995.17 : x
  2. Step 2: Convert to fraction form
    3,460.45/5,190.49 = 995.17/x
  3. Step 3: Cross multiply
    3,460.45x = 5,190.49 × 995.17
  4. Step 4: Simplify right side
    3,460.45x = 5,165,427.67
  5. Step 5: Solve for x
    x = 5,165,427.67/3,460.45
  6. Step 6: Final answer
    x = 1,492.70

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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.