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Finding the Fourth Proportional to 3,460.86, 5,190.57 and 995.85

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Solution

The fourth proportional to 3,460.86, 5,190.57 and 995.85 is: 1,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.86 : 5,190.57 = 995.85 : x
  2. Step 2: Convert to fraction form
    3,460.86/5,190.57 = 995.85/x
  3. Step 3: Cross multiply
    3,460.86x = 5,190.57 × 995.85
  4. Step 4: Simplify right side
    3,460.86x = 5,169,029.13
  5. Step 5: Solve for x
    x = 5,169,029.13/3,460.86
  6. Step 6: Final answer
    x = 1,493.57

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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.