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Finding the Fourth Proportional to 3,460.83, 5,191.18 and 995.66

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Solution

The fourth proportional to 3,460.83, 5,191.18 and 995.66 is: 1,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.83 : 5,191.18 = 995.66 : x
  2. Step 2: Convert to fraction form
    3,460.83/5,191.18 = 995.66/x
  3. Step 3: Cross multiply
    3,460.83x = 5,191.18 × 995.66
  4. Step 4: Simplify right side
    3,460.83x = 5,168,650.28
  5. Step 5: Solve for x
    x = 5,168,650.28/3,460.83
  6. Step 6: Final answer
    x = 1,493.47

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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.