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Finding the Fourth Proportional to 3,460.14, 5,190.18 and 994.95

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Solution

The fourth proportional to 3,460.14, 5,190.18 and 994.95 is: 1,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.14 : 5,190.18 = 994.95 : x
  2. Step 2: Convert to fraction form
    3,460.14/5,190.18 = 994.95/x
  3. Step 3: Cross multiply
    3,460.14x = 5,190.18 × 994.95
  4. Step 4: Simplify right side
    3,460.14x = 5,163,969.59
  5. Step 5: Solve for x
    x = 5,163,969.59/3,460.14
  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.