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Finding the Fourth Proportional to 3,460.05, 5,190.37 and 994.90

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Solution

The fourth proportional to 3,460.05, 5,190.37 and 994.90 is: 1,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.05 : 5,190.37 = 994.90 : x
  2. Step 2: Convert to fraction form
    3,460.05/5,190.37 = 994.90/x
  3. Step 3: Cross multiply
    3,460.05x = 5,190.37 × 994.90
  4. Step 4: Simplify right side
    3,460.05x = 5,163,870.09
  5. Step 5: Solve for x
    x = 5,163,870.09/3,460.05
  6. Step 6: Final answer
    x = 1,492.42

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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.