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Finding the Fourth Proportional to 3,460.73, 5,190.32 and 995.00

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Solution

The fourth proportional to 3,460.73, 5,190.32 and 995.00 is: 1,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.73 : 5,190.32 = 995.00 : x
  2. Step 2: Convert to fraction form
    3,460.73/5,190.32 = 995.00/x
  3. Step 3: Cross multiply
    3,460.73x = 5,190.32 × 995.00
  4. Step 4: Simplify right side
    3,460.73x = 5,164,383.86
  5. Step 5: Solve for x
    x = 5,164,383.86/3,460.73
  6. Step 6: Final answer
    x = 1,492.28

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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.