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Finding the Fourth Proportional to 4,949.38, 7,419.21 and 2,354.14

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Solution

The fourth proportional to 4,949.38, 7,419.21 and 2,354.14 is: 3,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.38 : 7,419.21 = 2,354.14 : x
  2. Step 2: Convert to fraction form
    4,949.38/7,419.21 = 2,354.14/x
  3. Step 3: Cross multiply
    4,949.38x = 7,419.21 × 2,354.14
  4. Step 4: Simplify right side
    4,949.38x = 17,465,859.03
  5. Step 5: Solve for x
    x = 17,465,859.03/4,949.38
  6. Step 6: Final answer
    x = 3,528.90

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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.