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Finding the Fourth Proportional to 3,344.40, 5,013.12 and 1,494.24

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Solution

The fourth proportional to 3,344.40, 5,013.12 and 1,494.24 is: 2,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.40 : 5,013.12 = 1,494.24 : x
  2. Step 2: Convert to fraction form
    3,344.40/5,013.12 = 1,494.24/x
  3. Step 3: Cross multiply
    3,344.40x = 5,013.12 × 1,494.24
  4. Step 4: Simplify right side
    3,344.40x = 7,490,804.43
  5. Step 5: Solve for x
    x = 7,490,804.43/3,344.40
  6. Step 6: Final answer
    x = 2,239.81

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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.