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Finding the Fourth Proportional to 3,460.42, 5,190.83 and 995.19

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Solution

The fourth proportional to 3,460.42, 5,190.83 and 995.19 is: 1,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.42 : 5,190.83 = 995.19 : x
  2. Step 2: Convert to fraction form
    3,460.42/5,190.83 = 995.19/x
  3. Step 3: Cross multiply
    3,460.42x = 5,190.83 × 995.19
  4. Step 4: Simplify right side
    3,460.42x = 5,165,862.11
  5. Step 5: Solve for x
    x = 5,165,862.11/3,460.42
  6. Step 6: Final answer
    x = 1,492.84

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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.